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2 years ago

I can't figure this out.

Mathematics

1 answer:

Leviafan [203]2 years ago

7 0

Answer:

$ 9.5

Step-by-step explanation:

total money is $20

on lunch = 1/8 × 20 = 5/2 = $2.5

on movies = 2/5 × 20 = $8

total spent = 2.5+8 =$ 10.5

left money = 20-10.5 = $ 9.5

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Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Tanzania [10]

Answer:

$a_{n}$ = - 3 $a_{n-1}$

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

$a_{n}$ = r $a_{n-1}$ = - 3 $a_{n-1}$

5 0

2 years ago

After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?

LenKa [72]

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7$

5 0

1 year ago

Read 2 more answers

Jen wants to tile the floor of her kitchen. The floor is rectangular and measures 12 feet by 8 feet. If it costs $2.50 per squar

Keith_Richards [23]

I hope this helps you

8 0

2 years ago

Help me pls, im stuck!!!! :))

timofeeve [1]

Answer:

y=8x

Step-by-step explanation:

The graph starts at the origin so there won't be a y intercept and the slope its 8 because every book costs 8 dollars. Therefore, the equation will be y=8x. Hope this helped

7 0

2 years ago

Read 2 more answers

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago

I can't figure this out. ​

I can't figure this out.