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2 years ago

Select the correct answer.

Mathematics

1 answer:

Digiron [165]2 years ago

7 0

C because if you plug one into the other the answer comes out as x and that is how you know it is an inverse

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vector v has a horizontal vector component with magnitude 19 and a vertical vector component with magnitude 35. what is the acut

vladimir2022 [97]

9514 1404 393

Answer:

61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

Tan = Opposite/Adjacent

tan(α) = 35/19

α = arctan(35/19) ≈ 61.5°

The angle made by v and the positive x-axis is 61.5°.

4 0

2 years ago

A savings account earns 7.2 (APR) compounded monthly, so it earns 0.6% each month. Cooper has $1500 in the account now. if he de

iragen [17]

Answer-

Cooper will receive $12.00 at the end of the month.

Solution-

Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.

So the total principal becomes 1500+500 = $2000

Given here,

APR = annual percentage rate = 7.2%

But as we have to calculate the monthly interest, so monthly interest rate would be $=\dfrac{7.2}{12}=0.6\%$

Time period = 1 month

So, the interest after 1 month will be,

$\text{interest}=\dfrac{\text{Principal}\times \text{Rate of interest}\times \text{Time period}}{100}$

$=\dfrac{2000\times 0.6\times 1}{100}$

$=\$12.00$

Therefore, Cooper will receive $12.00 at the end of the month.

7 0

3 years ago

Read 2 more answers

Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

3 0

2 years ago

Colin pays £766.45 a year on his car insurance.

aliina [53]

Answer:

£807.84

Step-by-step explanation:

Cost of Collins car insurance per year = £766.45

Percentage increase in price = 5.4%

How much does the insurance cost now?

Cost of the insurance now = £766.45 + 5.4% of £766.45

= 766.45 + 5.4/100(766.45)

= 766.45 + 0.054(766.45)

= 766.45 + 41.3883

= 807.8383

Cost of the insurance now = £807.84

3 0

3 years ago

the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day car

drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

Let the cost for full-day be F.

Let the cost for half-day be H.

Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

7 0

2 years ago