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3 years ago

a $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?

1 answer:

8 0

Interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03

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150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are 6.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

So, as given in question:

70% said that their kids are naughty.

26% said that their kids are nice.

So, to get the percentage of parents who didn't answer we subtract.

Thus, the percentage of parents who didn't answer with either naughty and nice:

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:

Total parents surveyed = 150.

Parents who didn't answer = 4% of the total parents surveyed.

$Parents\ who\ didn't\ answer = 4\% of 150.$

$Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.$

$Parents\ who\ didn't\ answer = \frac{600}{100}.$

$Parents\ who\ didn't\ answer = 6.$

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0

3 years ago

Write a proof for the following

anastassius [24]

Answer:

What will help is labeling the diagram with the given info..A proof always ends with the statement you have to prove.

Step-by-step explanation:

STATEMENT..............REASON

1) ∠F≅∠C 1) Given

2) E is the midpoint of GD 2) Given

3) GE≅ED 3) If a point is a midpoint then 2 ≅ segments are formed

4) FE≅EC 4) Same as 3

5)∠G≅∠D 5)

6) FG≅CD 6)

I tried my best with step 5 and 6..but you know step 6 has to be the prove statement but i don't know what the reason would be. I hope i helped a bit though.

4 0

3 years ago

Which of the following is rational 9/12 or -64

natali 33 [55]

9/12 bc it is a fraction

3 0

3 years ago

The ten students in a club are lined up in a row for a group photograph. How many different arrangements are possible if the clu

larisa [96]

It's 10!/3! so its 604, 800.

3 0

3 years ago

Read 2 more answers

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1000 was collected and 150 tickets sold. How

vesna_86 [32]

Let the number of students who bought tickets be s,
Let the number of adults who bought tickets be a,

Equation 1:

$3s \: + \: 8a \: = \: 1000$

Equation 2:

$s \: + \: a \: = \: 150 \\ s \: = \: 150 \: - \: a$

Substitute ( 2 ) into ( 1 ),

$3(150 \: - \: a) \: + \: 8a \: = \: 1000 \\ 450 \: - \: 3a \: + \: 8a \: = \: 1000 \\ 5a \: = \: 550 \\ a \: = \: 110$

Substitute a = 110 into ( 2 ),

$s \: + \: 110 \: = \: 150 \\ s \: = \: 40$

Ans: 40 Student Tickets, 110 Adult Tickets

7 0

3 years ago