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kotegsom [21]
3 years ago
12

If 3^x = 54, then which of the following must be true?

Mathematics
1 answer:
Leona [35]3 years ago
4 0
3^x=54\\\\27 < 54 < 81\\\\27=3^3;\ 81=3^4\\\\3^3 < 54 < 3^4\\\\Answer:3 < x < 4
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$6000 are invested in a bank account at an interest rate of 10 percent per year.
Licemer1 [7]

The amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A=P[1+\dfrac{r}{n}]^{nt}

a) The amount in the bank after 6 years if interest is compounded annually.

A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{  6}

A= $6369

b) The amount in the bank after 6 years if interest is compounded quarterly.

A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}

A= $6090

c ) The amount in the bank after 6 years if interest is compounded monthly.

A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}

A=$6030

Hence the amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

To know more about Compound interest follow

brainly.com/question/24924853

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7 0
2 years ago
A bag of flour weighed 2.25 kilograms 0.725 kilograms are used in a recipe how many kilograms of flour are left
Mrac [35]
Hello!

You subtract the amount of flour you started with by the amount you used

2.250 - 0.725 = 1.525

The answer is 1.525 kilograms

Hope this helps!
8 0
3 years ago
Read 2 more answers
A similarity transformation maps AABC to AJKL The measure of ZA of prelmage AABC Is 105°. The scale factor of the dilation in th
Tanya [424]

Answer:

The answer is 105.

Step-by-step explanation:

6 0
2 years ago
Evaluate the expression for y=17<br> y+15=
sweet-ann [11.9K]

Answer:  32

Step-by-step explanation:

y = 17  

and you are give the expression y + 15  

so substitute the value of y into the expression and add them

17 + 15 = 32

6 0
2 years ago
A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagr
larisa86 [58]
The lateral area is expressed as the product of the perimeter of the base and the height. While the surface area is the sum of all areas. The lateral area and the surface area of the box is calculated as follows:

LA = Ph 
P = 2l + 2w = (2 x 17) + (2 x 5) = 44 cm
LA = 44 cm x 3.12 cm = 137.28 cm

SA = 2(lw + wh + lh)
SA = 2[(17x5) + (5x3.12) + (17x3.12)]
SA = 307.28 cm

Thus, the lateral area and the surface area are 137 cm and 307 cm, respectively.
8 0
3 years ago
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