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3 years ago

The question is :

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

7 0

I believe the answer is 42 ft

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Write the sum as a product. simplify the product (-2)+(-2)+(-2)

LuckyWell [14K]

-2x3= -6. Adding a negative number is just like subtracting it :)

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3 years ago

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Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo

dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r = $\frac{0.0101}{4}$ = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

$P=\frac{r \times PV}{1-(1+r)^{-n}}$

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, $PV=\frac{P \times [1-(1+r)^{-n}]}{r}$

i.e. $PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-0.7021]}{0.002525}$

i.e. $PV=\frac{4567 \times 0.2975}{0.002525}$

i.e. $PV=\frac{1358.68}{0.002525}$

i.e. $PV=538,091.08$

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0

3 years ago

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X2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

s344n2d4d5 [400]

Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0. This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

3 0

3 years ago

Please help!!!!!!!!!!!!!!!

Andreas93 [3]

Answer:

a) 12/91

b) about 67 times; (66 2/3)

Step-by-step explanation:

a) total of frequencies is 90 and frequency for a 3 is 11

however, the question said if the dice is rolled once more, then that raises the 11 to 12 and the frequency total from 90 to 91

let 'x' = # of sixes rolled out of 500 times

b) 12/90 = x/500

cross-multiply:

90x = 6000

x = 66 2/3

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3 years ago

Which expression is equivalent to 4^-5?

Basile [38]

Since there is a negative exponent, you need to first convert that into a positive exponent which is going to be 1/4^5
Then, we can find out the answer by simply breaking apart the exponents into 5 groups of 4.
1/(4)(4)(4)(4)(4)
Answer: B

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3 years ago

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