A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?

Answers

Answer 1

5% of 40,000 is 2,000


Related Questions

Which is a greater fraction 2/5 or 1

Answers

1 is greater that 2/5

1>2/5

Answer:

1 is a whole number (an integer) and 2/5 is a proper fraction

Mandy runs 4 km in 18 minutes. She plans to run in a 16 km race. Based on her current speed. how long will it take her to complete the race

Answers

Answer:

72 minutes

Step-by-step explanation:

You need to set up 2 fractions and set them equal to one another to be able to solve this.

Equation: 4km/18min = 16km/x min

You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.

Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.

Hope this was helpful!

please help me asap!!

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x^2 + 5^2 = 13^2

x^2 + 25 = 169

x^2 = 144

---> x = 12

log (5x) (x)= 7/2


Answers

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden ​

Answers

The number of fences needed to build around the entire garden is 12.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Side of the square garden = 3 inches

Scale factor.

1(1/2) inches = 4 feet

3/2 inches = 4 feet

3 inches = 8 feet

Now,

Length of one fence.

= 2(2/3) feet

= 8/3 feet

Now,

The perimeter of the square.

= 4 side

= 4 x 3 inches

= 12 inches

= 4 x 8 feet

= 32 feet

Now,

The number of fences needed to build the fence around the garden.

= 32 ÷ 8/3

= 32 x 3/8

= 12 fences

Thus,

12 fences are needed to cover the entire garden.

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Answers

Answer:

Step-by-step explanation:

4 6/7

the answer is 4 6/7

please help.
grocery store workers restock cans of soup and bags of rice at constant rates. which item was restocked at a faster rate and what is the rate? let x represent the number of minutes and y represent the total number of bags or cans​

Answers

Answer:

Cans of soup are restocked at a faster rate

Step-by-step explanation:

With an equation y=mx+b, m = slope

m of rice = 12

The slope of the graph for the cans of soup is 30/2 = 15

m of soup = 15

15 is greater than 12

HELPPPP ME PLEASEEE

Answers

Answer:

your answer will be 588in²

Step-by-step explanation:

Area=πr²

=π(14)²

=3×(14)²

Area=588in²

hope it helps..

have a great day!!!

Factor out the common terms: 24a + 12b - 40c

I'll give brainliest​

Answers

Answer:

4(6a+3b-10c)

Step-by-step explanation:

Answer and Step-by-step explanation:

All of the terms have a common factor of 4.

4(6a + 3b - 10c)

#teamtrees #PAW (Plant And Water)

Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No

Answers

Answer:

b. No

Step-by-step explanation:

Binomial approximation to the normal:

Binomial distribution has n trials, with p probability.

If

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.

Assume the probability that a given student will not pass their college placement exam is 98%.

This means that [tex]p = 0.98[/tex]

134 students:

This means that [tex]n = 134[/tex]

Necessary conditions:

[tex]np = 134*0.98 = 131.32 \geq 10[/tex]

[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]

Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.

The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612
How high will the ball be after 3 seconds?
A. O feet
B. 9 feet
C. 16 feet
D. 112 feet
E. 151 feet

Answers

Answer:

C. 16 feet.

Step-by-step explanation:

How to find the maximum height of a projectile

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.

Answers

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 are shown on the graph.
The graph shows f of x equals x squared minus 3, which is an upward-opening parabola with a vertex at 0 commas negative 3 and a point at negative 1 comma negative 2, and a point at 1 comma negative 2. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 commas 2 and a point at negative 1 comma 1, and a point at 1 comma 1.


Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?


y ≤ x^2 – 3

y > –x^2 + 2

Answers

The solution set to the given system of inequalities is represented by the shaded region under the curve of f(x) = x^2 – 3 (including the points on the curve) and above the curve of g(x) = –x^2 + 2 (excluding the points on the curve). The overlapping region between these shaded areas represents the solution set to the system.

To graph the solution set to the system of inequalities y ≤ x^2 – 3 and y > –x^2 + 2, we can modify the graphs of f(x) = x^2 – 3 and g(x) = –x^2 + 2 accordingly. Here's how:

For the inequality y ≤ x^2 – 3:

The original graph of f(x) = x^2 – 3 is an upward-opening parabola with a vertex at (0, -3).

To graph y ≤ x^2 – 3, we need to shade the region below or on the parabola. This includes all points on the parabola itself.

Therefore, we shade the area under the curve of the original graph of f(x) and include the points on the curve.

For the inequality y > –x^2 + 2:

The original graph of g(x) = –x^2 + 2 is a downward-opening parabola with a vertex at (0, 2).

To graph y > –x^2 + 2, we need to shade the region above the parabola. This excludes all points on the parabola itself.

Therefore, we shade the area above the curve of the original graph of g(x) but exclude the points on the curve.

By modifying the graphs of f(x) and g(x) according to these shading instructions, we can graphically represent the solution set to the system of inequalities.

The solution set can be identified by observing the overlapping region or the intersection between the shaded area under the curve of f(x) and the shaded area above the curve of g(x). The points within this overlapping region satisfy both inequalities simultaneously.

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An unbiased estimator is one for which: Group of answer choices its value always equals the value of the parameter it estimates. its standard deviation always decreases as the sample size increases. its sampling distribution is Normal. its average value is equal to the parameter it estimates.

Answers

Answer:

its sampling distribution is centered exactly at the parameter it estimates.

Step-by-step explanation:

An unbiased estimator is an estimator that shows the correct statistic applied for the parameter of the population

Here correct represents that it should not be overestimated or underestimated. In the case when there is an underestimate or overestimate this means that there is a bias

So as per the given options the above option is correct

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Answers

Answer:

UV=7,-3

Step-by-step explanation:

Evaluate the expression. Show work.

2w + 2l when w= 4 and l=6

Answers

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

Consider function f, where B is a real number.

f(x)=tan(Bx)

Complete the statement describing the transformations to function f as the value of B is changed.

As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).

Answers

Using the concept of the tangent function, it is found that:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

---------------------------------

Tangent function:

It is given by:

[tex]f(x) = \tan{Bx}[/tex]

The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].

---------------------------------

The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).

---------------------------------

Considering the three bullet points above, the correct option is:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

A similar problem is given at https://brainly.com/question/16828446

Answer:

got it right

Step-by-step explanation:

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

Answer:

4 pounds

Step-by-step explanation:

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ REPORT LINKS OR PEOPLE ANSWERING FOR POINTS

Answers

Answer:

B

Step-by-step explanation:

Trust

what 1 + 2 i have know idea of what it is

Answers

Answer:

3

Step-by-step explanation:

Answer:

1+ 2 = 3

Step-by-step explanation:

A racing car driver is investigating whether the type of fuel he uses in his car affects his overall speed. He uses three different types of fuel. The driver runs an experiment where he fills his car with each type of fuel 20 times, and each time records the time taken to drive one lap of a track. A one-way ANOVA test is conducted to test the null hypothesis that type of fuel is not a significant factor in determining speed. The result of the test is that the null hypothesis is not rejected.

The conclusion that follows from this test is that: __________

a. it has been proven that the type of fuel is a significant factor in determining speed
b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed
c. it has been proven that the type of fuel is an insignificant factor in determining speed
d. it has been proven that the type of fuel can sometimes be a significant factor in determining speed

Answers

Answer:

b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed.

Step-by-step explanation:

From the question :

Let the speed of each fuel be represented as ;

u1, u2, u3

The null hypothesis, H0 ;

H0 : u1 = u2 = u3

H0 is of the notion that fuel type is not a significant factor in determining speed

The alternative hypothesis, H1;

H1 : u1 ≠ u2 ≠ u3

The alternative is the opposite of the null, fuel type is a significant factor in determining speed

If after conducting the statistical test, the null hypothesis cannot be rejected ;

Then the conclusion will be ;

There is no significant evidence to conclude that the fuel type is a significant factor in determining speed ;

Hence, fuel fuel type remains an insignificant factor in determining speed.

Can you answer (a,b)?

Answers

Answer:

a) 11.283 dollars

b) 1.435 hour

Step-by-step explanation:

1 kilo watt of electricity used for 1 hour

Charges of electricity per unit = $0.05224

Laura uses 5 heaters to warm her house. The electricity consumed by each use 1800 wats or 1.8 kilo wats

a) Charges in one day = 5 heaters * 1.8 kilo wats per hour * 24  hour* $0.05224 per kilowats per hour

= 11.283 dollars

b) 75 wat light bulb consumes 0.075 kilo wats per hour

Charge per kilowat per hour = $0.05224

In order to cost 1 $, the 75 wat bulb need to be on for 1.435 hour

What is the value of x?
These are the options!
1- x= 15
2- x= 12
3- x= 24
4- x= 17

Answers

Answer:

since they are alternate angles(equal)

4x-10=58

4x=68

x=17

Answer:

option 4

Step-by-step explanation:

(4x - 10) and 58 are alternate angles and are congruent, then

4x - 10 = 58 ( add 10 to both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is B. Choosing a loan with a simple rather than compound interest rate.

hope this helps,have a great day!!

~Pinky~

what angle is this I need help​

Answers

neither i believe i’m sorry

All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of
25. By what factor were the dimensions of the pentagon multiplied?

a) 12.5
b) 625
c) 5
d) 50

Answers

Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.

What is a scale factor?

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

(Scale factor of dimensions)² = 25

Scale factor of dimensions = √25 = 5

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Answer:

c.5

Step-by-step explanation:

Which of the following cannot be the side lengths of a triangle?

10, 12, 18

9, 9, 10

3, 11, 15

10, 15, 20

Answers

Answer:

3, 11, 15

Step-by-step explanation:

The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side

true or false
There are four quartiles altogether,

Answers

where’s the rest of the question

The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2. A) Write a quadratic equation in terms of w that represents the situation. B) What are the dimensions of the floor? Show your work.​

Answers

Answer:

w² + 4w - 525 = 0

Width of rectangle = 21 feet

Length of rectangle = 25 feet

Step-by-step explanation:

Given:

Area of rectangular floor = 525 ft²

Find:

Equation

Dimensions of the floor

Computation:

Assume;

Width of rectangle = w feet

So,

Length of rectangle = w + 4 feet

Area of rectangular floor = length x width

Area of rectangular floor = w(w + 4)

525 = w² + 4w

w² + 4w - 525 = 0

w² + (25 - 21)w - 525 = 0

w² + 25w - 21w - 525 = 0

w(w + 25) -21(w + 25)

(w + 25)(w - 21)

So,

w = -25 , w = 21

So,

Width of rectangle = 21 feet

Length of rectangle = w + 4 feet

Length of rectangle = 21 + 4 feet

Length of rectangle = 25 feet

find he prodct
4(-2)

Answers

Answer:

-8

Step-by-step explanation:

four times two equals eight, positive times negative equals negative, so -8

Answer:

-8

Step-by-step explanation:

4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.

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