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garik1379 [7]
3 years ago
7

Melanie invested $3,800 in an account paying an interest rate of 2 % compounded

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

.85

Step-by-step explanation:

Compound interest formula

PV(1+\frac{i}{n})^{nt}

Melanie:

3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21

Sebastian:

3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06

4824.06-4283.21= .85

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cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.​
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Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

xy=\frac{768}{24}\\xy=32\\

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can  not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

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