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ch4aika [34]
2 years ago
7

PLEASE HELP, URGENT!!!! Find M

Mathematics
1 answer:
Butoxors [25]2 years ago
6 0

Answer:

sin^-1 (√111)/2√37) = 60°

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John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0
3 years ago
Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125
Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

6 0
3 years ago
Read 2 more answers
Help with the step by step
Nataliya [291]

Step-by-step explanation:

First, distribute the -4 to the parenthesis:

24a-22=-4+24a

Add 22 to both sides:

24a-22+22=-4+22+24a

Simplify:

24a=18+24a

Subtract 24a from both sides:

24a-24a=18+24a-24a

Simplify:

0=18

hope this helps :)

4 0
3 years ago
Read 2 more answers
600+15y=750.<br> solve for y<br> can I as well have the way you solved for y?
Pie
1.)subtract 600 from 750 in order to simplify
2.)divide by 15 on both sides to get y alone. Doing this cancels the 15 on the y and makes the right side equal 10
3.)y=10
4 0
3 years ago
Read 2 more answers
A calculator screen shows a number in scientific notation as 4.18E‒8. Write this number in standard form.
Citrus2011 [14]

Answer:

.0000000418

Step-by-step explanation:

So you will start from the decimal and move 8 places to the left.

E-8 is the same as 10^-8 so you will move to the left

If it was E8 you would move to the right 8 places.

6 0
3 years ago
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