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3 years ago

A bank offers two different types of interest on saving accounts

Mathematics

2 answers:

Lena [83]3 years ago

7 0

Answer:

What is the answer

Step-by-step explanation:

goldenfox [79]3 years ago

4 0

Answer:

(a) The closet to the simple interest eaened in 5 years is $275.00.

(b) The closet to the compound interest earned in 5 years is $276.28.

Step-by-step explanation:

These can be determine as follows:

(a) Simple Interest

The interest earned and be determined using the simple interest formula as follows:

Simple interest = P * R * T ....................... (1)

Where;

P = Principal = $1,000

R = interest rate = 5.5%

T = term = 5

Substituting the values into equation (1), we have:

Simple interest = $1,000 * 5.5% * 5 = $275.00

(b) Compound Interest

The interest earned and be determined using the compound interest formula as follows:

Compound interest = P(1 + R)^T - P ....................... (2)

Where;

P = Principal = $1,000

R = interest rate = 5%, or 0.05

T = term = 5

Substituting the values into equation (2), we have:

Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28

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Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her

Art [367]

For this case we have the following equation:

$y + 1 = 2 (x - 3)$

That can be rewritten in the form $y = mx + b$

Where:

m is the slope of the line

b is the cut point

So, we have:

$y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7$

Where:

$m = 2$ is the slope

$b = -7$ is the cut point

Carlota has the following points:

(-1, 3) and (2, 9)

To know if the line $y = 2x-7$ passes through these points, we must replace them in the equation and the equality must be fulfilled. So:

Point (-1, 3):

Substituting:

$3 = 2 (-1) -7\\3 = -2-7$

$3 = -9$ It's false, equality is not met. The point (-1, 3) does not go through the line.

The equation written by Carlota is erroneous, the procedure to follow is:

Given $(x1, y1) = (- 1, 3)$ and $(x2, y2) = (2, 9)$ , we find the slope:

$m=\frac{(y2-y1)}{(x2-x1)}$

$m=\frac{(9-3)}{(2-(-1))}$

$m=\frac{6}{3}$

$m=2$

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:

$y = 2x + b$

Substituting (2,9) we have:

$9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5$

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is $y = 2x + 5$

Answer:

The correct equation of the line that passes through the given points is $y = 2x + 5$

Carlota's mistake was at the cutoff point

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3 years ago

If jummai is 12years old and Tunde is 8years old and they share 15bananas in the ratio of their ages how many will each have sho

bixtya [17]

Jummai and Tunde will each have 9 and 6 bananas respectively.

For the given ratio case we use the sharing ratio criterion to solve the problem.

Jummai is 12 years old.

Tunde is 8 years old.

Their ages are in ratio of;

A = 12 : 8

A = 3 : 2

The ratio's sum is 5.

15 bananas total are available for sharing.

Jummai will have $x\\$ bananas $x$ = (15 x 3/5) = 9

Tunde will have $y$ bananas $y$ = (15 x 2/5) = 6

Jummai and Tunde will each have 9 and 6 bananas with them.

To learn more about Ratio click here:

brainly.com/question/13419413

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1 year ago

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Lana71 [14]

Answer:

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Step-by-step explanation:

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Anna [14]

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

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The length of a rectangle is stored in a double variable named length, the width in one named width. write an expression whose v

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