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docker41 [41]
3 years ago
7

Last year, Lisa opened an investment account with $5200 . At the end of the year, the amount in the account had increased by 22.

5% . How much is this increase in dollars? How much money was in her account at the end of last year?
Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0
5600*.065=364                                                                                                                 5600+364=$5964 in the account at the end of the year. ☺☺☺☺<span>   
</span>
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A new shopping mall records 150 total shoppers on their first day of business. Each day after that, the number of shoppers is 15
Wewaii [24]

The number of shoppers is an illustration of an exponential function.

The expression for the number of shoppers is: \mathbf{f(n) = 150(1.15)^n}

The given parameters are:

<em />\mathbf{a = 150}<em> -- the number of shoppers on the first day of business</em>

<em />\mathbf{r = 15\%}<em> --- the rate</em>

<em />

Because, the number of shoppers <em>increases each day</em>, the number of shopper on a certain day is:

\mathbf{f(n) = a \times (1 + r)^n}

Substitute 15% for r

\mathbf{f(n) = a \times (1 + 15\%)^n}

Express percentage as decimal

\mathbf{f(n) = a \times (1 + 0.15)^n}

\mathbf{f(n) = a \times (1.15)^n}

Substitute 150 for a

\mathbf{f(n) = 150 \times (1.15)^n}

\mathbf{f(n) = 150(1.15)^n}

Hence, the expression for the number of shoppers is: \mathbf{f(n) = 150(1.15)^n}

Read more about exponential functions at:

brainly.com/question/11487261

4 0
3 years ago
Sean buys 3 quarts of ice cream. He wants to serve as many 1-cup portions as possible.
givi [52]

Answer:

D. 12

Step-by-step explanation:

there are four cups in one quart. so what i did is i took 3 quarts and multiplied it by 4 cups.

5 0
3 years ago
An aircraft travels for 30 minutes at an average speed of 37 mph. how far did the airplane travel?
kupik [55]

Answer:

1.23 repeating

Step-by-step explanation:

divide 37 and 30

7 0
2 years ago
Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome
ratelena [41]

Answer:

x = 0.175\cdot (1-\cos 4\cdot \theta)

Step-by-step explanation:

Let use the following trigonometric identities:

\sin^{2}\theta = \frac{1-\cos 2\cdot \theta}{2} \\\cos^{2}\theta = \frac{1+\cos 2\cdot \theta}{2}

Then, the equation is simplified by substituting its components:

x = 1.40\cdot \left(\frac{1-\cos 2\cdot \theta}{2}  \right)\cdot \left(\frac{1+\cos 2\cdot \theta}{2} \right)

x = 0.35\cdot (1-\cos^{2}2\cdot \theta)

x = 0.35\cdot \sin^{2}2\cdot \theta

x = 0.35\cdot \left(\frac{1-\cos 4\cdot \theta}{2}  \right)

x = 0.175\cdot (1-\cos 4\cdot \theta)

7 0
3 years ago
Read 2 more answers
Round 1,393 to the nearest thousand
myrzilka [38]
The answer is 1,000 4 or below you round down and 5 or higher you round up
6 0
3 years ago
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