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muminat
3 years ago
6

Evaluating expressions

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

There is no expression to evaluate.

Step-by-step explanation:

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A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste
Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

4 0
3 years ago
Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she
Sav [38]

Answer: She went 11 times during the summer.

Step-by-step explanation:

If Louisa's savings change by -6 each time she goes bowling and it went to -66, that means that Louisa went another 11 times.

\frac{1}{11}

So therefore your answer would be 11.

6 0
2 years ago
A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is
Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0
3 years ago
Simplify the expression.<br><br> 10h + 6 − 5h + 3
inn [45]

Answer:

Combine like terms. The like terms in this equation are the h’s and the real numbers. Add or subtract both of the same terms and that is the simplified answer.

10h-5h+6+3

5h+9

:)

6 0
3 years ago
Read 2 more answers
Round to the nearest tenth if necessary. 60% of 68 is what number?..
galina1969 [7]

Answer:

40.8

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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