100 POINTS PLEASE HELP QUICKLY
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?

Round the answer to the nearest hundredth.

Answers

Answer 1

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

ANSWER: 0.15 is the interest rate
Answer 2

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

What is savings account?

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?


Related Questions

What is the measure of each side? NEED HELP ASAP

Answers

Answer:

Each side is 5 units long

Step-by-step explanation:

Since the opposite angles are equal then x + 2 = 3x - 4

So solve for x: so  4+2 = 3x - x

6 = 2x

3 = x

So one side is x + 2 = 3 + 2 = 5

The other side is 3x - 4 = 3(3) - 4 = 9-4 = 5

A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?

Answers

Answer:

9.6%

Step-by-step explanation:

The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

To get the geometric probability, we must find the area of the rectangle.

Total outcomes = 20' × 25' = 500'

Total favourable outcomes =  6' × 8' = 48'

Probability = 48/500 = 0.096

= 0.096×100 = 9.6%

Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop​

Answers

Answer:

10

Step-by-step explanation:

2--8

2+8

10

8 below zero is -8

Solve for x
3x+7=57 pleas hurry

Answers

Answer: x=50/3

Step-by-step explanation:

Answer:

16.6 ( the 6 is repeated) or 16 and 2/3

Step-by-step explanation:

Take the 7 away which equals 50 and then divide by 3..

plz answer
correctly it is worth a lot of points

Answers

75% is covered by the shaded area.

Answer:

75%

Step-by-step explanation:

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2​

Answers

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

help me pls I would aprreciate it

Answers

Answer:

b

Step-by-step explanation:

Subtract the following polynomials in this equation.

Answers

Answer:

c

Step-by-step explanation:

it a c....................

Identify the set as finite or infinite
{1 1/4, 1/16, 1/64,,,}

Answers

Answer:

??????

Step-by-step explanation:

What that does not make sence at all

help
i will give brainly

Answers

Answer:

I think its store A.

Step-by-step explanation:

Correct me if I am wrong please

Determine the standard deviation (sigma) by filling in the table as part of your calculation.

Consider the following data 13, 14, 11, 11, 13, 10
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared







a.
0.82
c.
1
b.
1.41
d.
0.41



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

b

Step-by-step explanation:

acellus sucks

Answer:

B

Step-by-step explanation:

Find 33⅓% of ⅘ of $4.50.​

Answers

The answer i got was 120666.6 dollars

I hope this helps you :)

10x5+4to the power of 2+(5+30 divided by 10

Answers

Answer:

10 * 5 + 4^2 + (5 + 30 ÷ 10)=74

Answer:

74

Step-by-step explanation:

plz answer the question and explain how you got the answer​

Answers

Answer:
1,741.67 yards
Step-by-step explanation:
1 foot = 1/3 yards
5,225 divided by 3 is 1,741.67

i need help i need help asap

Answers

Answer:

2(x-3)^2

Step-by-step explanation: simplify second expression and combine

The value of almost everything you own assets such as a car computer oar house depreciates goes down overtime when an asset value decreases by a fixed amount each year the depreciation is called straight line depreciation suppose your truck has an initial value of $12,400 depreciates $820 per year write an equation illustrates this function if you plan to keep your truck for seven years and determine the value of the truck at the end of this. Period let v represent the dependent variable in T represent the independent variable

Answers

Answer:

A

Step-by-step explanation:

Trust

The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Here, your truck has an initial value of $12,400 depreciates $820 per year.

Let number of years = r

Hence, We get the correct equation is,.

⇒ y = 12,400 - 820r

So, For r = 7 years;

⇒ y = 12400 - 820 x 7

⇒ y = 12400 - 5740

⇒ y = $6,660

Thus, The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ5

PLXS HELP NEED BY TODAY

Answers

Answer:

I believe its 17, this is a 90 degree angle, so 90-73=17

Step-by-step explanation:

the degree of a right angle would be 90° so you would solve it by subtracting 90°-73°=x°
x= 17°

Which list orders the numbers from least to greatest

Answers

The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8

Plz help ASAP I will mark u branliest

Answers

Answer:

1. Three                                           1. Two

2. Four                                           2. Five

Step-by-step explanation:

while shopping for clothes tracy spent $25 less than 3 times what curtis spent. Tracy spent $14. write and solve an equation to find how much curtis spent. Let x represent how much curtis spent.

Answers

3x-25=14

First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)

39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.

2. A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5

Answers

Answer:

Step-by-step explanation:

A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5

Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?​

Answers

200 * .08 = 16
account now equals 216
216 * .08 = 17.28
total after one year = $233.28

Given f(x)=(0.5)^x, give the rule for g(x) if it is f(x) shifted to the left 1 unit, down 3 units, and reflected over the x-axis

Answers

Answer:

g(x) = -(0.5)^(x + 1) + 3

Step-by-step explanation:

First, let's define the transformations used in this case:

Horizontal shift (horizontal translation):

If we have a function f(x), a horizontal translation can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation s to the left.

Vertical shift (vertical translation):

If we have a function f(x), a vertical translation can be written as:

g(x) = f(x) + N

if N is positive, the translation is upwards

if N is negative, the translation is downwards.

Reflection over the x-axis.

If we have a function f(x), a reflection over the x-axis is written as:

g(x) = -f(x).

Now we have the function:

f(x) = (0.5)^x

Let's apply the transformations:

"shifted to the left 1 unit"

g(x) = f(x - (-1) ) = f(x + 1)

"shifted down 3 unts"

g(x) = f(x + 1) - 3

"reflected over the x-axis"

g(x) = -(  f(x + 1) - 3 ) = -f(x + 1) + 3

now we can replace the function equation here and get:

g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3

Please help algebra work

Answers

Answer:

I think it is J

Step-by-step explanation:

the x-2.... so on x axis on 2....and +5 is y intercept

Writing Linear Equations


Two less than five times a number x is equal to 13. Solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto.Los azulejos son cuadrados de 20 cm de lado

Answers

Pregunta completa:

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.

Respuesta:

160 tejas

7 cajas

Explicación paso a paso:

Dimensión de la pared = 6 m por 2,4 m

Área de la pared = 6 m * 2,4 m

Área de la pared = 14,4 m²

Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m

Área de la loseta cuadrada = s² = 0.3² = 0.09m²

Número de baldosas cuadradas necesarias:

14,4 m² ÷ 0,09 m²

= 160 fichas cuadradas

Si hay 25 fichas en una caja;

Número de cajas a comprar:

160/25

= 6,4 ≈ 7 cajas

convertir 26 grados celsius a grados a grados fahrenheit

Answers

Answer:

Para transformar 26 °C a grados Fahrenheit tienes que multiplicar 26 x 9/5 y después sumarle 32. 1 °C son 33,8 °F.

Step-by-step explanation:

26 degrees Celsius is equal to 78.8 degrees Fahrenheit.

To convert 26 degrees Celsius to degrees Fahrenheit, you can use the following formula:

°F = (°C × 9/5) + 32

Plug in the value of celsius.

°F = (26 × 9/5) + 32

°F = (234/5) + 32

°F = 46.8 + 32

°F = 78.8

Therefore, 26 degrees Celsius is equal to 78.8 degrees Fahrenheit.

To learn more on Temperature click:

https://brainly.com/question/7510619

#SPJ6

Convert 26 degrees Celsius to degrees Fahrenheit?

A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold

Answers

Answer:

The first bottle holds 10 ounces of water.

Step-by-step explanation:

The bottle holds z ounces.

The second bottle holds 16 ounces, which is 8/5 times the first, which is z.

How much water does the first bottle holds?

[tex]\frac{8z}{5} = 16[/tex]

[tex]8z = 16*5[/tex]

[tex]8z = 80[/tex]

[tex]z = \frac{80}{8}[/tex]

[tex]z = 10[/tex]

The first bottle holds 10 ounces of water.

Other Questions
11) Domergue Corp. currently has an EPS of $3.76, and the benchmark PE for the company is 21. Earnings are expected to grow at 5.1 percent per year. (4 pts.) a) What is your estimate of the current stock price? b) What is the target stock price in one year? c) Assuming the company pays no dividends, what is the implied return on the companys stock over the next year? the sum of a number x and 7 is 35dont need answer 24 > 6 + 3y = ____image of question included Which event that led to the United States' into World War II happened last? A balloon originally has 0.100 moles of helium and has a volume of 0.500 L. If 0.590 grams of He are added to the balloon, what will the new volume be, in L? (Assume temperature and pressure do not change.) An airplane is flying at an altitude 0f 2000 feet toward an island. It is at a distance dof 6500 feet from the landing point. Find the angle of approach, Partly as an act of rebellion and protest against God, Elierefuses to fast on Yom Kippur.TrueFalse A cone has volume 817. What is the volumeof a cylinder with the same radius and height? What are the two types of bonding we have studied?a. Metallic and covalentb. Covalent and ionicc. lonic and metallicd. Molecular and metallic Who were Catholic missionaries who taught Christianity to Native Americans? Wolverine is three years older than Storm Cyclops is two years younger than Storm. Thesum of their age is 106. How old are each of them Select two trigonometric functions that are equivalent to the ratio x/y. I NEED THE ANSWER ASAP 2Find the equation of the line shown.Find the equation of the line shown. *(10 Points)y=3x+4y=-1/2x-3y=5x-12y=1/2x+3 Select the correct answerWhich statement from the excerpt expresses the author's overall claim?A. This destruction is often performed with the thought that it is the property that holds the true value, not the structure that sits on itB. The modern philosophy of "out with the old, in with the new" has been used and abused for years.C. Little regard is given to the innate beauty of hand-carved woodwork and ornamentationD. It is bad enough that developers and private citizens are blind to the beauty around them... Solve the quadratic equationsy^2 10y+21=0y=?16p^2 -8p=-1p=?x^2 -400=0x=?-16m^2 =8m+1m=?-3n^2 +75=0n=? How many cubes with side lengths of 1/3 cm does it take to fill the prism? 1.The surface area of a certain pyramid is 54 square meters.Its volume is 648 cubic meters. If a similar pyramid has avolume of 8232 cubic meters, what is its surface area? Kayla works at a coffee shop. Yesterday she earned $6.25 an hour plus $8.75 in tips. Let x represent the number of hours worked and y represent the total amount earned. Fill in each blank. NO CAPS NO SPACES Slope: Initial value: Equation: y= Michael has a new job and earns a salary of $27,000. Jackie has a new job and earns a salaryof $36,000. Michael will receive a salary increase of $3,200 per year, and Jackie will receive asalary increase of $2,100 per yearWhich equation can be used to find x, the number of years it will take Michael to earn the samesalary as Jackie?A. 27,000x + 3,200x = 36,000x + 2,100xB. 27,000x + 3,200 = 36,000x + 2,100C. 27,000x + 3,200x = 36,000x + 2,100D. 27,000 + 3,200x = 36,000+ 2,100x Which of the following renewable energy sources can be used for electricity, vehicle fuel, and heat?A) windB) biomassC) geothermalD waterE) solar