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Juliette [100K]
3 years ago
8

Someone help me please

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

1440°

Step-by-step explanation:

the formula used for this is (n-2)×180° where n=# of sides in the polygon

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David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

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

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
2 years ago
Solve the equation: \frac{2}{3}t=\frac{5}{9} (hint: reciprocal)
Aleks04 [339]

Given:

\frac{2}{3}t=\frac{5}{9}\text{ We know that the reciprocal of }\frac{2}{3}\text{ is }\frac{3}{2}\text{.}

Multiply both sides by 3/2, we get

\frac{3}{2}\times\frac{2}{3}t=\frac{3}{2}\times\frac{5}{9}

Cancel out the common multiples, we get

t=\frac{1}{2}\times\frac{5}{3}

t=\frac{1\times5}{2\times3}

t=\frac{5}{6}

The solution of the given equation is

t=\frac{5}{6}

or

t=0.8333.

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The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?
zvonat [6]

Answer:

A. 2(8)+2(w)=26

B. 16+2w=26

Subtract 16 from both sides of the equation

2w=10

Divide both side by 2

The width is 5

Step-by-step explanation:

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Step-by-step explanation:

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