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KATRIN_1 [288]
3 years ago
6

A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest

income of $990 from investments. What amount should be invested in the 7.5% bond?
Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

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Round 6.432 to the nearest tenth.
fenix001 [56]

Answer:

6.4

Step-by-step explanation:

a number rounded to the nearest tenth is

a.b

so our number is

6.432

we can forget about the 2

6.43

so we can round it

since 3 is less than 5 we don't change the 4 to 5

6.4

7 0
3 years ago
Explain what is wrong with each of the following randomization procedures, and describe how you would do the randomization corre
zlopas [31]

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

The problem with the here is that we might have introduced bias into our sample by failing to randomize the assignment of gender. By pacing the male gender in the treatment group and females into the control group, this might spring up a spurious association in our experiment as a result of a possible confounding variable, gender. Therefore, assignment of subject shouldn't be on the basis of gender.

2.)

Using a coin toss in placing subjects into groups will give a good random assignment, however, since only ten subjects are available and of which 5 will be placed into each group, there is no certainty that there will be equal number of heads and tails during the 10 flips. Alternatively, a random selection of the name of the 10 subjects could be chosen from a raffle.

3.)

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8 0
2 years ago
Which number does not belong? 36, 99, 9, 123
Inga [223]
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3 0
3 years ago
Can someone please help me with this i don't know
Liula [17]
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7 0
3 years ago
E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help
larisa86 [58]

Answer:

<h2>m\angleF = 34°</h2>

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m\angleF add m\angleE and m\angle F and equate it to 90 to find x then substitute it into the expression for m\angleF

Thats

m\angleE + m\angleF = 90

\rarr 9x - 38 + 2x + 40 = 90

\rarr 11x + 2 = 90

\rarr 11x = 90 - 2

\rarr 11x = 88

Divide both sides by 11

x = 8

Now we have

if m \angleF = 9x - 38

m\angle F = 9( 8) - 38

m\angleF = 72 - 38

We have the final answer as

<h3>m\angleF = 34°</h3>

Hope this helps you

4 0
3 years ago
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