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Klio2033 [76]
3 years ago
15

Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio

n on the number line (2)
Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Given the inequality -7x+3>45

A) Add -3 to both sides of inequality:

-7x+3-3>45-3\\ \\-7x>42

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

x

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

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Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.
Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is  $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 %  i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × (1+\frac{r}{n})^{nt} - 1) / (r/n)

now put all these value in equation

future payment = $ 100  × (1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)  

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment  - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0
3 years ago
Six values on the number line above are marked with letters. Which letters represent integers when the value on the number line
s344n2d4d5 [400]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Find the direction angle of 3i+1j.<br><br> Please help me. Thank you
Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

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4 0
3 years ago
Read 2 more answers
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