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postnew [5]
3 years ago
12

What percent of 43.75 is 70

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
43.75 is 62.5% of 70
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Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl
ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0
1 year ago
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

6 0
3 years ago
£6000 is divided between Adam, Ben and<br> Chris in the ratio 1:3:4. How much does Ben receive?
Gala2k [10]

Answer:

Chris gets £3000

Step-by-step explanation:

A : B : C

1 : 3 : 4 = 8 (add all the parts together)

£6000 ÷ 8 = 750

so the multiplier is x 750

1 : 3 : 4

↩ x 750

750 : 2250 : 3000

Chris gets £3000

3 0
2 years ago
Suppose that $2000 is invested at a rate of 2.6% , compounded semiannually. Assuming that no withdrawals are made, find the tota
EleoNora [17]

Answer:

$2,589.52

Step-by-step explanation:

A = P(1 + \dfrac{r}{n})^{nt}

We start with the compound interest formula above, where

A = future value

P = principal amount invested

r = annual rate of interest written as a decimal

n = number of times interest is compound per year

t = number of years

For this problem, we have

P = 2000

r = 0.026

n = 2

t = 10,

and we find A.

A = $2000(1 + \dfrac{0.026}{2})^{2 \times 10}

A = $2589.52

8 0
3 years ago
Read 2 more answers
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