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3 years ago

Can somebody help me with this..... Please

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

So we can think of this as two semi circles and a rectangle. The rectangle has two exposed sides, meaning there are only two sides that should be accounted for in the overall perimeter. So for the rectangle, the exposed perimeter is 720. Because total there is a full exposed circle (2 half circles) we can find the perimeter (circumference) and add it to 720. In order to find the circumference we multiply diameter by pi. This is approximately 691.15. This added to the 729 gives us a total of 1411.15

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Find the equation of the line that passes through the point left-parenthesis 1 comma 8 right-parenthesis and is perpendicular to

Furkat [3]

Don't be shy about using actual parentheses and commas.

Line through (1,8) perpendicular to

$-\dfrac 4 5 x + \dfrac 5 4 y = -4$

The perpendicular family is gotten by swapping the coefficients on x and y, negating exactly one of them. The constant is given directly by the point we're through:

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7 0

3 years ago

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

3 years ago