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zlopas [31]
3 years ago
14

A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds i

s to exceed that in CDs by $3000, how much will be invested in each type of investment?
​
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000  Eq. 1

b = c + 3000  Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

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Anit [1.1K]
Do 13,500 times .012. Take that answer and multiply it by 10. From that answer, subtract it from 13,500. That would be your final answer.
6 0
3 years ago
Solve this plz!<br> 2x+3x=12<br> 6x-4x=24
zmey [24]


hope this helps
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3 0
3 years ago
Find the missing side of the triangle
stepan [7]

Answer:

x = 7\sqrt{2}

Step-by-step explanation:

Pytago:

7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}

3 0
3 years ago
Read 2 more answers
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,
rjkz [21]

Answer:

a)  0.2725

b)  0.7275

c)  0.8948

Step-by-step explanation:

This is a binomial distribution probability problem. The formula is:

P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

a)

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725

So, the probability that no one has done a one-time fling is 0.2725

b)

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

THus, Probability that at least one person has done a one-time fling is 0.7275

c)

No more than 2 people means P (x≤2).

This is essentially

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)

P ( x = 0 ) is found in part (a), which is 0.2725

P (x = 1 ) and P(x=2) can be found using formula:

P(x=1)=\frac{8!}{(8-1)!1!}(0.15)^{1}(0.85)^{7}\\P(x=1)=0.3847

and

P(x=2)=\frac{8!}{(8-2)!2!}(0.15)^{2}(0.85)^{6}\\P(x=2)=0.2376

Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

8 0
3 years ago
Convert 185 degrees Celsius to degrees Fahrenheit. Round<br> your answer to the nearest degree
lakkis [162]

Hello! :3

Answer:

The Correct Answer is <u><em>365 °F</em></u>

Step-by-step explanation:

The C to F formula is(C ~x~ 9/5) + 32 = F

When we do 185 for C in the formula, we get(185 ~x~ 9/5) + 32 = F.

To solve,  (185 ~x~ 9/5) + 32 = F. we first multiply 9 by 185, then we divide the product by 5, and then finally we add 32 to the quotient to get the answer.

185~x~9=1665

1665  /5=333

333+32=355

Therefore, the answer to 185 C to F is 365 which can be written like this

⇒ 185 °C = 365 °F

hope this helps you!

Have an Awesome Thursday!

-Joseph-

3 0
2 years ago
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