4. Mr. Y invested $2,000 in two accounts. One pays 7%

annual interest; one 5%. At the end of 1 year, Mr. Y

earned $155 in interest. How much had Mr. Y invested

in the account paying 7%?

Answers

Answer 1

Answer:

He invested approximately $2,215

Step-by-step explanation:

Mr Y invested $2000 in two accounts.

One pays 7%, and the other pays 5%.

At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.

Let the amount he invested be X, then

7% of X = 155

(7/100)X = 155

0.07X = 155

X = 155/0.07

= 2,215

He invested approximately $2,215


Related Questions

Evaluate –9 – 13 + 2 + 13.

Answers

Answer: -7

-9-13= -22
-22+2= -20
-20+13= -7

what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?

Answers

Midpoints are (3,0)

Given h(x) = 5x + 1, find h(2) HELP PLEASE

Answers

Answer:

11

Step-by-step explanation:

[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]

Hope this helps.

Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2

Answers

Answer:

-2+3

Step-by-step explanation:

What is the area of the triangle?

Answers

Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)

Answers

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ([tex]A[/tex]) is represented by the following formula:

[tex]A = w\cdot l[/tex]

Where:

[tex]w[/tex] - Width.

[tex]l[/tex] - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])

[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]

[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]

[tex]A = 1.76\cdot A_{o}[/tex]

The area of the rectangle is increased in 76 percent.

The first five terms in a pattern are shown below.

3, -3, -9, -15, -21, ...

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer:

-45 because it is the nth term in the sequence just trust me.. ;)  Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

Joseph grew 2 centimeters in 12 weeks how much is this in inches per year

Answers

Answer:

About 3.41 inches per year

Step-by-step explanation:

2 cm per 12 week

52 weeks in a year

52/12 = about 4.33

2 cm * 4.33 =  about 8.67 cm

2.54 cm = 1 inch

8.67/2.54 = about 3.41 inches per year

Hope this helps!

(pls mark brainliest)

if the sales tax rate is 7.375% in new york state then how much sales tax would you pay for a $9,500 used car

Answers

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer: 700.625$

Explanation:

Find sales tax:

Price of car • tax rate = sale tax

9500$ x 7.375%
= 9500$ x 7.375/100
= 95$ x 7.375
= 700.625$

PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.

Answers

It would be 80 I’m pretty sure?
(The answer is PR=80) The reasoning for this is you have to add PQ and QR together in order to get PR

What is the value of y in the equation 4y – 2(1 – y) = –44?
–23
–15
–14
–7

Answers

Answer:

-7

Step-by-step explanation:

The value of y will be -7

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :

[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]

Therefore, the value of y is -7

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

Express 4 tickets for $25 as a unit rate

Answers

Unit rate is the amount it costs for 1.

Divide total cost by number bought:

25/4 = 6.25

Unit price = $6.25 per ticket

Use the Symmetry of a Function to Find Coordinates f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.

Answers

Answer:a=4 b=3

Step-by-step explanation:

Tbh I just guessed and got them

The requried value of the unknowns in the function is given as a = 4 and b = 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
As mentioned in the question,
For even function table is given,
x    ⇒   -2,  0, 2,  3
f(x)  ⇒   4   5   a   7

For even function,
f(x) = f(-x)

From table,
f(2) = f(-2) = 4
So, a = 4

For odd functions,
f(-x) = -f(x)    [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]

Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A.  35° B.  90° C.  145° D.  180° ​

Answers

Answer:

Could you please add a diagram? Or at least say how C is related to B?

Like is C an alternate angle to B or anything?

Step-by-step explanation:

A diagram would really help.

Answer:

145

Step-by-step explanation:

180-35=145

what are the solutions to the quadratic equation?2x^2+7x+6=0​

Answers

Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?

Answers

Answer:

the shoes cost $134.43 with tax

What is an integer? ​

Answers

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

2 perfect squares of 102

Answers

Step-by-step explanation:

102^2 = 10404

102×102=10404

Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9

Answers

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

PLEASE HELP!!! TRIG, Theres a picture!!

Answers

Answer:

The answer is option C

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

- 3

Hope this helps you

If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.

Answers

25.12 sorry if it’s wrong

Answer:

c≈25.13

Step-by-step explanation:

(look at the images) can i get help on these?

Answers

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

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

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

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

17

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]

   = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

What term best describes the intersection of the strokes drawn when writing the letter T? point plane line

Answers

Answer:

Point just took the test and this is the answer.

Step-by-step explanation:

Money is borrowed at ​8% simple interest. After one​ year, ​999.00$ pays off the loan. How much was originally​ borrowed?

Answers

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

The beast, a roller coaster in Cincinnati, Ohio, is 1.4 miles long. How far would you travel in 5 rides?

Answers

you would travel 7 miles

Answer:

7 miles

Step-by-step explanation:

So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.

Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3

Answers

You plug in x to the function. So it would be 6(3). 6 x 3 is 18, so f(x)=18.

A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP

Answers

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.

44 pounds is equivalent to
ao
kilograms.

Answers

Answer:

19 kilograms

Step-by-step explanation:

because it is

HELP! i’m confused! question is in the picture

Answers

Answer:

[-6,-3]

Step-by-step explanation:

So we have the compound inequality:

[tex]2x+7\leq x+4\leq 3x+16[/tex]

Let's solve for each of the inequalities:

1)

We have:

[tex]2x+7\leq x+4[/tex]

Subtract x from both sides:

[tex]x+7\leq 4[/tex]

Subtract 7 from both sides:

[tex]x\leq -3[/tex]

So that's one of our answers.

2)

We have:

[tex]x+4\leq 3x+16[/tex]

Subtract 3x from both sides:

[tex]-2x+4\leq 16[/tex]

Subtract 4 from both sides:

[tex]-2x\leq 12[/tex]

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

[tex]x\geq -6[/tex]

Therefore, our entire answer is:

[tex]-6\leq x\leq -3[/tex]

This means all values in between -3 and -6 including -3 and -6.

In interval notation, this is:

[tex][-6,-3][/tex]

So, A is -6.

And B is -3.

And we're done :)

A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm? What is the length of the wood?

10,000 cm

2 cm

515 cm

50 cm

Answers

Answer:

The length of a piece of wood is 2 cm.

Given:

volume = 100 cm³

width = 5 cm

height = 10 cm

length = ?

Volume is computed by multiplying the length, width, and height of an object.

Volume = length * width * height

100 cm³ = length * 5 cm * 10 cm

100 cm³ = length * 50 cm²

100 cm³ / 50 cm² = length

2 cm = length

to check:

100 cm³ = 2 cm * 5 cm * 10 cm

100 cm³ =  10 cm² * 10 cm

100 cm³ = 100 cm³

Answer:

2 cm

Step-by-step explanation:

write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height

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