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Finding a final amount in a word problem on exponential growth or decay

An amount of $41,000 is borrowed for 9 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar

Answer:

[tex]y=3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]

[tex]y=3x+4[/tex]

I hope this helps!

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

Answer:

x = 80.96

Step-by-step explanation:

9x * 3x +1 = 2187

27x +1 = 2187

27x = 2187-1

27x = 2186

x = 2186/27 = 80.96(2dp)

Answer:

1.   a = 32.96    m∠B = 21°   b = 12.74

2.   x = 24.99

Step-by-step explanation:

1.   Use the law of sines:

a/sin 112 = 26/sin 47

a = 26 sin 112/sin 47

a = 32.96

m∠B = 180 - 47 - 112 = 21°

b/sin 21 = 26/sin 47

b = 26 sin 21/sin 47

b = 12.74

2.   Use the law of cosines

[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]

    =  289 + 121 - 374 cos 125

    =  624.5175....

x =  [tex]\sqrt{624.5175...}[/tex]

 = 24.99

Answer:

the answer is 114

Step-by-step explanation:

Answer:

19.47

Step-by-step explanation:

if the radius Is 1 and height is 5.1

Answer:

(4 * 6) + 8

Step-by-step explanation:

The Wild Things Pet Store has 4 birdcages with 6 canaries in each cage. The pet store also has a birdcage with 8 parakeets. Which expression shows the number of birds in Wild Things Pet Store?

Solution:

Each birdcage contain 6 canaries, therefore since there is a total of 4 birdcages, the number of canaries in the 4 bird cages is given by:

Number of canaries = 4 birdcages * 6 canaries per birdcage

Also, there is one birdcage with 8 parakeets, hence the number of parakeets is:

Number of Parakeet = 1 birdcage * 8 parakeet per birdcage = 8 parakeet

The total number of birds in the Pet store = number of canaries + number of parakeet

number of birds in the Pet store = (4 * 6) + 8

Answer:

85 cm

Step-by-step explanation:

Answer:

68 cm

Step-by-step explanation:

Use the following formula (Pythagorean Theorem) to solve for c:

[tex]c^{2}= \sqrt{(a^{2}) - (b^{2})[/tex]

Substitute values:

[tex]c^{2}= \sqrt{(77^{2}) - (36^{2})[/tex]

Simplify:

[tex]c^{2}= \sqrt{(5,929) - (1,296)}[/tex]

[tex]c^{2}= \sqrt{4633}[/tex]

c ≈ 68 (rounded from 68.07)

Answer:

answers rounded to the nearest tens: 1730, 480, 4832720, and 130.

Answer

5

Step-by-step explanation:

2+3x16-2x21-3

2+ (3x16)- ( 2x21) -3

2 + 48 - 42 -3

50 -42-3

8-3= 5

Answer:

=5

Step-by-step explanation:

2+3*16-2*21-3=

2+(3*16)-(2*21)-3=

2+(48)-(42)-3=

2+6-3=

8-3=

=5

Hope this helps

Answer:

85 km

Step-by-step explanation:

Answer:

umm i believe it is positive 5

Step-by-step explanation:

i hope i helped

Answer:

12

Step-by-step explanation:

Answer:

25/28 (Decimal: 0.892857 )

Branliest?

Answer:

[tex]\frac{25}{28}[/tex]

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Answer:

Symbol also in symbolizing something

Step-by-step explanation:

Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.

1.) Multiply Denominator:

9x3= 27

27 will be your new denominator for your answer.

then take 5 and multiply by 3.

5x3=15

then take 1 and multiply by 9.

1x9=9

Afterwards, you plus 15 and 9 to get 24.

so your fraction for the end will be 24/27.

Answer:

Explain it a little more

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

experimental probability that she will see birds in her garden on July 1 = number of days she saw a bird in June / total number of days in June

= 18/30

To transform to the simplest form. divide both the numerator and the denominator by 6

Answer:

take out x+60 and = x+54 cross multiply for starters

Answer:

9/8  first      11/8 second  and third is  75

Step-by-step explanation:

there would be 2  bags in there

Step-by-step explanation:

click the photo there is answrr

Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

Given:

The volume of a cuboid = 275 cm³

The base area of the cuboid = 25 cm²

To find:

The height of the cuboid.

Solution:

We know that, the volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is the height.

It is also written as:

[tex]V=B\times h[/tex]               ...(i)

Where, B is the base area and h is the height of the cuboid.

Putting [tex]V=275, B=25[/tex] in (i), we get

[tex]275=25\times h[/tex]

[tex]275=25h[/tex]

[tex]\dfrac{275}{25}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cuboid is 11.