1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
boyakko [2]
3 years ago
12

what was the interest rate if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​

Mathematics
2 answers:
adell [148]3 years ago
5 0

The interest rate is 8%.

<u>Step-by-step explanation :</u>

From the given data, it can be determined that

The invested amount is 857 dollars.

⇒ Principal, P= $857

The number of years is six years ⇒ n = 6

It is given that, the amount at the end of 6 years is 1268.36 dollars.

⇒ Amount = $1268.36

<u>To find the interest :</u>

Amount = Principal + Interest.

⇒ Interest = Amount - Principal

⇒ 1268.36 - 857

⇒ 411.36

The Interest is $411.36

<u>To find the rate of interest (r) :</u>

The formula for simple interest is given by,

Simple interest = Pnr /100

where,

P is the Principal , n is the number of years, r is the interest rate

⇒ 411.36 = (857× 6× r) /100

⇒ 411.36 × 100 = 5142 × r

⇒ 41136 = 5142 × r

⇒ r = 41136 / 5142

⇒ r = 8 %

Therefore, the interest rate is 8%.

Mumz [18]3 years ago
3 0
<h3>The interest rate is 8 % if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​</h3>

<em><u>Solution:</u></em>

Given that,

Principal = $ 857

Amount = $ 1268.36

Number of years = 6

Rate of interest = ?

Simple Interest = Amount - principal

Simple Interest = 1268.36 - 857

Simple Interest = 411.36

<em><u>Use the formula,</u></em>

Simple Interest = \frac{ p \times n \times r}{100}\\\\411.36 = \frac{ 857 \times 6 \times r}{100}\\\\41136 = 5142 \times r\\\\r = \frac{41136}{5142}\\\\r = 8 \%

Thus the interest rate is 8 %

You might be interested in
On a coordinate grid what is the distance from g 2,8 to h 2,5
Anika [276]
(2, 8), (2, 5)

Just subtract the numbers that aren't the same.

8 - 5 = 3

So the distance is 3.
5 0
3 years ago
Read 2 more answers
A bivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. What is the equation for the regression line of y on x?
earnstyle [38]

Answer:

c) y=16.57+1.83x

Step-by-step explanation:

Equation for regression line of y on x is given as

\hat{y}=mx+b --- (1)

where

\hat{y} = predicted value

m = slope of line

b = intercept

m and b are found as

m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

\bar{x} = mean value of independent variable x = 21

\bar{x} = mean value of dependent variable y = 55

Substituting these values in (2) and (3)

m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83

b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57

Putting these values of m and b in (1)

y=1.83x+16.57

5 0
3 years ago
WILL GIVE BRAINLIEST
stira [4]

The air force plane travelled for a total of 6.9 hours.

<u>SOLUTION: </u>

Given, An Air Force plane left Nairobi and flew west at an average speed of 159 mph.  A cargo plane left sometime later flying in the same direction at an average speed of 207 mph.  After flying for 5.3 hours the cargo plane caught up with the Air Force plane.  

We have to find the number of hours the Air Force plane flew before the cargo plane caught up.

Now, we know that, \text { distance travelled }=\text { speed } \times \text { time }

For air force plane \rightarrow \text { distance travelled }=159 \mathrm{x} \text { time taken by air force plane }

\text { For cargo plane } \rightarrow \text { distance travelled }=207 \times 5.3 \text { hours }

Now, when cargo plane caught the air force plane the distance travelled by the planes will be equal.

So, 159 \times \text { time taken by air force plane }=207 \times 5.3

\Rightarrow =\frac{207 \times 5.3}{159}

\Rightarrow =\frac{1097.1}{159}

Time taken by air force plane = 6.9  hrs

6 0
3 years ago
The graph of a line goes up and to the right when:
Afina-wow [57]
<h3><u>Answer:</u></h3>

Option: C is the correct answer.

c) the coefficient of x is positive

<h3><u>Step-by-step explanation:</u></h3>

We know that graph of a line goes up and to the right when the coefficient of x is positive.

Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:

y=mx+c

as m is positive this means that:

the coefficient of x is positive.

Hence, the correct answer is:

c) the coefficient of x is positive

4 0
3 years ago
Read 2 more answers
Ms. Hamm bought a new car for $37,500. It is said that her car depreciates at a rate of 7% each year
Alona [7]

Answer:

This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.

<h3><u>Step-by-step explanation:</u></h3>

<em>Here is how you can solve this problem:</em>

  • Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.

  • 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.

Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.

  • 375 x 7 = 2625.

  • Subtract 2625 from 37,500.

  • You will get $34,875.

Let's say that the next year, her car value goes down by 7% again.

THIS IS THE IMPORTANT PART:

<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>

<em>Hope this helps! :) </em>

6 0
2 years ago
Other questions:
  • A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of co
    10·2 answers
  • suppose you roll two number cubes and pick a letter from the alphabet at random. find the probability that you roll 2 even numbe
    14·1 answer
  • 1.
    5·1 answer
  • Andrew plays on a basketball team. In two games he scored 2/5 of the total number of points his team scored. His team scored 55
    13·2 answers
  • Find the missing terms of the aritmetic sequence 5,a2,a3,a4,-11
    9·1 answer
  • 3 log 2x=4 Please solve
    11·1 answer
  • Help me please thank you
    14·1 answer
  • I need help plz HELP
    7·2 answers
  • I FORGOT IMAGE, please help me solve this!! 100 points!!
    14·1 answer
  • Select the expression that is equivalent to (m2-16)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!