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nexus9112 [7]
3 years ago
5

You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Answer: 123.05

Use annuity formula

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If an investor invests $24,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple
Anettt [7]

Answers:

2% bond: $11000

4% bond: $13000

========================================================

Explanation:

x = amount invested in the 4% bond

y = amount invested in the 2% bond

Amounts are in dollars

The two amounts add to $24,000 so

x+y = 24000

y = -x+24000 is one equation to set up

0.04x = interest earned from the 4% bond

0.02y = interest earned from the 2% bond

0.04x+0.02y = total interest earned = $700

0.04x+0.02y = 700 is another equation to set up

------------

The system of equations is

\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}

Apply substitution. Solve for x.

0.04x+0.02y = 700

0.04x+0.02(-x+24000) = 700

0.04x-0.02x+480 = 700

0.02x= 700-480

0.02x= 220

x= 220/(0.02)

x = 11000

Use this to find y

y = -x+24000

y = -11000+24000

y = 13000

8 0
2 years ago
Simplify the ratio of 35:14
Shalnov [3]

Step-by-step explanation:

35 : 14

Divide by 7

5 : 2

We cannot divide it further so the answer is 5 : 2

3 0
3 years ago
Can you draw trapezoid three right angles
Hunter-Best [27]
Its impossible to draw a trapezoid with just three right angles.

a trapezoid has 4 sides, which means all the angles inside the trapezoid must add up to 360 degrees.

if you have just 3 right angles (90x3), you already use up 270 degrees. Leaving you with just 90 degrees left, which is also a right angle. That means, there has to be four, if you have at least 3.

6 0
3 years ago
Simplify 6-12b divided by 3a-6ab
siniylev [52]

Answer:

\frac{2}{a}

Step-by-step explanation:

Given

\frac{6-12b}{3a-6ab} ← factor both numerator and denominator

= \frac{6(1-2b)}{3a(1-2b)} ← cancel common factor (1 - 2b) on numerator/denominator

= \frac{6}{3a} ← cancel 6 and 3 by 3

= \frac{2}{a}

7 0
2 years ago
Read 2 more answers
What is the slope of the line y = 3?<br> Answer here<br> ____________
Eva8 [605]

Answer:

0

Step-by-step explanation:

No matter what value of x you input into this equation, you will get a y value of 3. This means that over infinite run, the line has no rise, and therefore has slope of 0. Hope this helps!

7 0
3 years ago
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