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Tanya [424]
3 years ago
13

You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 per

cent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
A) $800 in 5%, $200 in 7%

b) $400 in 5%, $600 in 7%

C) $200 in 5%, $800 in 7%

D) $500 in 5%, $500 in 7%
Mathematics
1 answer:
Katena32 [7]3 years ago
8 0

Answer:

B) $400 in 5%, $600 in 7%

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 6.6/100

r = 0.066 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.066/12)(12)(7.5)

A = 10,000.00(1 + 0.0055)(90)

A = $16,382.75

Therefore, you will need to invest $400 in 5%, $600 in 7% acoounts

You might be interested in
Cos (pi/11)+cos (3pi/11)+cos (5pi/11)+cos (7pi/11)+cos(9pi/11)
WARRIOR [948]
All you have to do is input these terms in a scientific calculator and you would immediately get the answer. However, you should note that the units are in radians. Therefore, make sure that your calculator is in the mode of radians before inputing. Then, you would get an answer of 1/2.
4 0
3 years ago
Need help with this
Marrrta [24]

Answer:

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50

7 0
3 years ago
On July 18, Lester accepted a $15,000, 7 3/4%, 180-day note from Ryan O'Flynn. On October 5, Lester discounted the note at Brome
hoa [83]

Answer:

so Lester receive money is $13762.5  

Step-by-step explanation:

Given data in question

principal = $15000

discount = 8* 1/4 % i.e. = 8.25% = 0.0825

to find out

Lester receive money ?

solution

we know ordinary interest formula i.e.

receive money = principal ( 1 - discount )  ...........1

we all value principal and discount in equation 1 and we get receive money

receive money = principal ( 1 - discount )

receive money = $15000 ( 1 - 0.0825)

receive money = $ 13762.5  

so Lester receive money is $13762.5  

3 0
3 years ago
I need help on doing this
yaroslaw [1]

Answer:

1. 5.67232

2. 1.0472

5. 9.94838

6. -5.49779

7. 2.24746048

10. -0.0161006623

Step-by-step explanation:

Those were the only ones I could help on, sorry I couldn't help on the other ones.

5 0
4 years ago
1. A random sample of 25 of the 400 members of the Bigtime Theater
natulia [17]

Answer:

Minimum value = 1

Maximum value = 10

First Quartile or 25th percentile = 2.5

Third Quartile or 75th percentile = 5

Median = 4

Inter Quartile Range (IQR) = 2.5

Range = 9

Number of variables = 25

Outliers = 10

Step-by-step explanation:

Note that a box and whiskers plot shows 5 major information about the distribution of data. It shows:

- The maximum variable

Simply the maximum value of the distribution.

This is usually read from the whiskers, the tail end on the whiskers at the top of the plot. But this distribution has an outlier (represented by the singular dot, which can now serve as the maximum value. Maximum value = 10

- The minimum variable

Simply the minimum value of the distribution.

This is also easily read from the whiskers, the very beginning of the whiskers at the bottom. For this distribution, the minimum value is 1.

- The first Quartile or the 25th percentile

This is the beginning of the boxplot. For this distribution, it is 2.5.

- The third quartile or the 75th percentile

This is the end of the boxplot. For this distribution, it is 5.

- The Median

This is the number at the middle of the distribution when all the variables are arranged in ascending or descending order.

This is represented by the point that coincides with the line drawn on the boxplot. For this distribution, the Median is 4.

The other variables describing the dataset that can be obtained from the boxplot include;

1) The Interquartile Range (IQR)

The IQR is a measure of the spread of the distribution and it is given mathematically as the difference between the third and first quartile.

IQR = (Third quartile or 75th percentile) - (First quartile or 25th percentile)

IQR = 5 - 2.5 = 2.5

2) The range.

The range is given as the difference between the maximum and minimum values of a distribution.

Range = (Maximum value) - (Minimum Value) = 10 - 1 = 9.

Hope this Helps!!!

4 0
3 years ago
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