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Art [367]
2 years ago
11

Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and

Mathematics
2 answers:
mojhsa [17]2 years ago
8 0

Answer:

OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"

Step-by-step explanation:

In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)

hence the applicable formula is:

A = P(1+rt), where

A = final amount after t years

P = Principal (beginning) amount ($1500 for option A and $1000 for option B)

r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)

t = time (we are asked to evaluate t = 10 years and t = 20 years)

<u>For option A </u>:

P = $1500 and r = 5% = 0.05

A = P(1+rt)

A = 1500 [ 1 + (0.05)t]

at 10 years: A = 1500 [ 1 + (0.05)(10)] = $2,250

at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000

<u>For option B </u>:

P = $1000 and r = 5.5% = 0.055

A = P(1+rt)

A = 1000 [ 1 + (0.055)t]

at 10 years: A = 1000 [ 1 + (0.055)(10)] = $1,550

at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100

Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.

Setler [38]2 years ago
4 0

Answer:

B

Step-by-step explanation:

if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.

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The value of 8 is between which two integers?<br> 2 and 3<br> 3 and 4<br> 07 and 9<br> 49 and 81
Delvig [45]

Answer:

2 and 3

Step-by-step explanation:

The square root of 8 is 2.82842712475

5 0
3 years ago
ALGEBRA by bundling cellular land line high speed internet connection and cable service Joyce abbot was able to save 48.50 per m
andreyandreev [35.5K]

Answer: She should budget $672.89 monthly next year for this service.

Step-by-step explanation:

Since we have given that

Amount he was able to save per  month = $48.50

Total amount he spent for the year = $1254.89

Amount he saved for the year would be

48.50\times 12\\\\=\$582

Amount left from total would be

1254.89-582\\\\=\$672.89

Hence, She should budget $672.89 monthly next year for this service.

6 0
3 years ago
According to Masterfoods, the company that manufactures M&amp;M's, 12% of peanut M&amp;M's are brown, 15% are yellow, 12% are re
Luda [366]

Answer:

The questions asked are

If you randomly select 4 peanuts

1. Compute the probability that exactly three of the four M&M’s are brown

2. Compute the probability that two or three of the four M&M’s are brown.

3. Compute the probability that at most three of the four M&M’s are brown.

4. Compute the probability that at least three of the four M&M’s are brown.

Step-by-step explanation:

Given the following information

Brown=12%. P(B)=0.12

Yellow=15%. P(Y)=0.15

Red=12%. P(R), =0.12

Blue=23%. P(B) =0.23

Orange, =23%. P(O) =0.23

Green=15%. P(G)=0.15

Question 1.

They are independent events

If there are exactly three brown and the last is not brown

P(B n B n B n B')

P(B)×P(B)×P(B)×P(B')

0.12×0.12×0.12×(1-P(B))

0.001728×(1-0.12)

0.001728×0.88

0.00152.

0.152%

2. If two or three are brown

I.e we are going to two brown and two none brown or three brown and one not brown. (P(B)×P(B)×P(B')×P(B'))+ (P(B)×P(B)×P(B'))

(0.12×0.12×0.88×0.88)+(0.12×0.12×0.12×0.88)

0.0112+0.00152

0.0127

1.27%

3. At most three brown out of four then we are going to have

BBBB', BBB'B', BB'B'B', B'B'B'B'

These are the cases of at most three brown.

P(B)×P(B)×P(B)×P(B') + P(B)×P(B)×P(B')×P(B') + P(B)×P(B')×P(B')×PB')+ P(B')×P(B')×P(B')×P(B')=

0.12×0.12×0.12×0.88+ 0.12×0.12×0.88×0.88+ 0.12×0.88×0.88×0.88+ 0.88×0.88×0.88×0.88=0.694

0.694

69.4%

4. At least 3 brown out of four selection

I.e BBBB', BBBB

These are the two options

P(B)×P(B)×P(B)×P(B') + P(B)×P(B)×P(B)×P(B)=

0.12×0.12×0.12×0.88 + 0.12×0.12×0.12×0.12

0.001728

0.173%

4 0
3 years ago
Read 2 more answers
Select the correct answer. Simplify. 198 49√2 OB. 7√2 OC. 2√7 OD. 14√7​
Nitella [24]

Answer: The correct answer is B.

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7 0
2 years ago
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(10x 5 - 3x 6)
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(f-g) = 32x
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