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lora16 [44]
3 years ago
15

The profit P after the first month of operation for a new departmental store is $10,605. The profit of the departmental store af

ter x months can be determined by P = 10500(1.01)x. What will the profit of the store be after 6 months?
Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

p = 11145.96

Step-by-step explanation:

If x is an exponent and 1.01 its base then we are looking at a case of compound increments and the profit can be said to be earning compound interest at a rate of 1%. The  profit of the store after 6 months is found by simply substituting x with 6 in the equation of p; p = 10500(1.01)^6

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Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box
PSYCHO15rus [73]

Answer:

The answer is 6+3b<or equal to 15

Step-by-step explanation:

3 0
3 years ago
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
Ln(x+2)=4<br> round to 3 decimal place
Anna11 [10]

Answer:

The answer would be 52.598.

Hope this helps!

Brainliest?

3 0
4 years ago
Please Help!!! My pleasure
Papessa [141]
First, convert all of the mixed numbers into improper fractions.
2 3/4=11/4
3 1/8=25/8
1 3/5=8/5
Now, we know that to find the volume, multiply width, length, and height together.
11/4*25/8*8/5=2200/160 or 55/4 known as 13 3/4
The volume is 13 3/4 cm cubed.
6 0
3 years ago
Read 2 more answers
A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a stor
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Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
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Then just subtract
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3 years ago
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