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butalik [34]
3 years ago
8

Solve the problem. A retired couple has $120,000 to invest to obtain annual income. They want some of it invested in safe Certif

icates of Deposit yielding 5%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $11,600 per year? 1) $90,000 at 12% and $30,000 at 5% O2) $80,000 at 127. and $40,000 at 5% 3) $80,000 at 5% and $40,000 at 12% 4) $70,000 at 5% and $50,000 at 12%​
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

ertificates 6.00% per annum ---x

AA bond 11.00% per annum ---y

x + 1 y= 160000 ------------------------1

6.00% x + 11.00% y= 15600

Multiply by 100

6 x + 11 y= 1560000.00 --------2

Multiply (1) by -6

we get

-6 x -6 y= -960000.00

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Linn is making cookies. Each batch of cookies
Pachacha [2.7K]

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4

\frac{7}{2}\ cup\ flour = 1\ cup\ sugar

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4

2 * 7\ cup\ flour = 4\ cup\ sugar

14\ cup\ flour = 4\ cup\ sugar

<em>Hence;4 cups of sugar require 14 cups of sugar</em>

8 0
3 years ago
Solve the equation <br>y=2x-4, 3x+y=11​
Ostrovityanka [42]

Answer:

(3, 2)

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

3x + y = 11 → (2)

Substitute y = 2x - 4 into (2)

3x + 2x - 4 = 11

5x - 4 = 11 ( add 4 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = (2 × 3) - 4 = 6 - 4 = 2

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5 0
3 years ago
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Which of the following terminating decimals is equivalent to -1 3/4<br> ?
Reika [66]
It would be - 1.75. Hope it helps! :)
3 0
3 years ago
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Plz help!!! this is due today!!
aleksandr82 [10.1K]

Hi!!!!!!!!!!!!

Hope I help!

SO the correct answer are...............................

<h2><u>0=0! 1=4! 2=8! 3=12! 4=16! &, 5=20!!!!!!!!!!</u></h2>

6 0
3 years ago
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lu
belka [17]

Answer:

Mean = 2

Standard deviation = 1.356

Step-by-step explanation:

We are given;

Probability of taxpayers that make mistakes when filling out forms: p = 0.08

Sample size; n = 25

In binomial distribution;

Means is;

μ = np

Thus;

μ = 25 × 0.08

μ = 2

Formula for standard deviation here is;

σ = √(np(1 - p))

σ = √(25 × 0.08(1 - 0.08))

σ = 1.356

7 0
3 years ago
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