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ArbitrLikvidat [17]
2 years ago
10

Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,

y, after x years?
Mathematics
1 answer:
MAVERICK [17]2 years ago
5 0

Answer:

y=300(1+0.16)^x

Step-by-step explanation:

<h2>This account  can be  modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

 A= P(1+r )^t

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

y=300(1+0.16)^x

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Write your answer as a fraction or as a whole or mixed number.<br> 27pts
statuscvo [17]

<u>What we know</u>:

  • Bird feeder capacity:             -->  2 4/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

  • Bird feeder capacity:             -->  14/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

<u>Solve:</u>

  Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

<u></u>

Hope that helps!

4 0
2 years ago
If an input is -9 what is the output for y = x(to the 2nd power) + 3?
Whitepunk [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is  H_o :  \beta_1 = 0

 The alternative hypothesis is  H_1 :  \beta_1 \ne 1

Step-by-step explanation:

From the question we are told that

        The number observations is  n =  100

         The  annual salary (in dollars) is  y

          The  mean score on teaching evaluation is  x

          The the relationship between the y and  x is

                y =  \beta_0  +  \beta _1 x + \epsilon

Where  \beta _1 is the mean of the equation so

  The null hypothesis is  H_o :  \beta_1 = 0

   The alternative hypothesis is  H_1 :  \beta_1 \ne 1

         

6 0
2 years ago
4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form
galina1969 [7]

Answer:

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

5 2/3 = 17/3

Then, find the common denominator:

41/6 + 17/3=

LCM = 6

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41/6 + 34/6

Last, Add

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3 0
2 years ago
Point m is located at 4,-2 what is located 2 units for point m
eimsori [14]

Answer:

None

Step-by-step explanation:

Given

m = (4,-2)

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

m' = (4+2,-2) = (6,-2)

m" = (4,-2+2) = (4,0)

m'''= (4-2,-2) = (2,-2)

m'''' = (4,-2-2) = (4,-4)

From the graph, we have:

A = (4,2)

B = (-4,2)

C = (2,-3)

None of the points is 2 units from m

7 0
2 years ago
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