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Yanka [14]
2 years ago
10

William wants to invest $30,000 in a mutual fund.

Mathematics
1 answer:
Natali [406]2 years ago
8 0

Answer:

He will have $39,750 at the end of five years.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

P = 30000, I = 0.065, t = 5

Interest earned:

E = P*I*t = 30000*0.065*5 = 9750

Total amount:

T = E + P = 9750 + 30000 = 39750

He will have $39,750 at the end of five years.

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The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1,which is an equation for the nth
dexar [7]
Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10  OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B
5 0
3 years ago
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. What is NS? 5 cm 10 cm 20 cm 30 cm
son4ous [18]

Answer:

20 cm

Step-by-step explanation:

∵ S is the centroid of ΔNLM

∴ S divides NG at ratio 1 : 2 from the base

∴SQ = 1/2 NS

∴3x - 5 = 1/2 (4x)

∴3x - 5 = 2x

∴3x - 2x = 5

∴x = 5

∴ NS = 4 × 5 = 20 cm

5 0
2 years ago
Read 2 more answers
Write the equation for:
xenn [34]

Answer:

\frac{1}{2} x +x = 2 (x-4)

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

\frac{1}{2} x +x = 2 (x-4)

Simplifying it further

\frac{3}{2} x = 2x-8

\frac{3}{2} x -2x=-8

\frac{3x-4x}{2}= -8

-x= -16\\x=16

7 0
2 years ago
Kylie starts with $145 in her piggy bank. Each month she adds $20.
ella [17]
2. an=20+an−1 and a1=145

she starts with 145 so a1=145 and then adds 20 every month: an=20+an−1
3 0
2 years ago
Read 2 more answers
What is the vertex of y = x2 + 2x +2<br> O (1,-1)<br> O (2,-2)<br> O (1, 2)<br> 0 (-1, 1)
fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - \frac{2}{2} = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0
2 years ago
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