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konstantin123 [22]
3 years ago
9

Rita earned 20 points on a quiz. She lost 5 points for poor penmanship , then earned 10 points of extra credit. What’s Rita’s fi

nal score on the quiz?
Mathematics
2 answers:
Marina CMI [18]3 years ago
6 0
20 - 5 is her score after losing points:

15

Now, 15 + 10 is her score after her extra points.

25 points

Hope this helps!
nasty-shy [4]3 years ago
3 0
First, let's subtract.
If Rita earned 20 points on the quiz, and then lost 5 for poor penmanship the equation will look like 20 - 5 = 15.
Then, if she earned 10 points for extra credit, we add 15 and 10 to get 25.

20 - 5 + 10 is what the equation should be.
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An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an <u>exponential equation</u>.

<u>General form of an exponential function</u>:

 f(x)=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment <u>decreases</u> by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

f(x)=1000000(0.978)^x

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

\implies f(10)=1000000(0.978)^{10}=800500.1586

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0
1 year ago
6x + 3y = 33 4x + y = 15 A. x = 2, y = 7 B. x = -13, y = 7 C. x = - 2 3 , y = 12 2 3 D. x = 5, y = 1
klio [65]

6x+3y=33..........(1)

4x+y=15

y=15-4x.........(2)

substitute value of y from (2) in (1)

6x+3(15-4x)=33

distribute 3 over the bracket

6x+45-12x =33

-6x=33-45

-6x=-12

x=2

plugging this value of x in equation 2 we get

15-4x=y

15-4(2)=y

y=15-8

y=7

Answer is x=2 and y=7

3 0
3 years ago
You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
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disa [49]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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