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3 years ago

Evaluate this exponential expression. 4. (2 + 5)2 - 52 =

Mathematics

2 answers:

egoroff_w [7]3 years ago

7 0

Answer:

C. 171

Step-by-step explanation:

$4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\$

Katen [24]3 years ago

6 0

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

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If this is the graph of f(x)=a^(x+h)+k, then: <br> A. a< 0<br> B. k> 1<br> C. 0 D. a> 1

lyudmila [28]

Answer:

Option D. is the right choice.

Step-by-step explanation:

D. a > 1 is the right answer.

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3 years ago

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Ilya [14]

Use photo math ! It’s way better than this

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3 years ago

Use the arithmetic progression formula to find the sum of integers from 75 to 100.75,76,77....99,100.

Sophie [7]

Answer:

The sum is 2275

Step-by-step explanation:

Given

$75,76,77....99,100$

Required

The sum

Using arithmetic progression, we have:

$S_n = \frac{n}{2}(T_1 + T_n)$

Where:

$T_1 = 75$ --- first term

$T_n = 100$ --- last term

$n = T_n - T_1 + 1$

$n = 100 - 75 + 1 = 26$

So, we have:

$S_n = \frac{n}{2}(T_1 + T_n)$

$S_n = \frac{26}{2}*(75 + 100)$

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5 0

3 years ago

4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the

julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

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

Here:

P = $50,000

n = represents the number of number of periods

r = 0.11

$PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})$

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate, present value of annuity

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3 years ago

One day, ms sanders notices that her car’s odometer has exactly 1000 miles on it. She knows she drives 14 miles every day to and

enot [183]

The answer should be 1,084
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2 years ago