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user100 [1]
3 years ago
8

* Danny wants to earn $500,000 by the time he retires. He puts a huge bonus of $20,000 in an

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

See Below

Step-by-step explanation:

The question is asking:

After how many years, 20,000 will become 500,000 at an annual interest of 11.5%?

So, we need compound growth formula shown below to solve this:

F=P(1+r)^t

F is future value

P is present amount

r is rate of interest

t is the time of year

Given,

F = 500,000

P = 20,000

r = 11.5% = 11.5/100 = 0.115

t is what we want to find

F=P(1+r)^t\\500,000=20,000(1+0.115)^t\\25=1.115^t

Now, we take natural log of both sides and solve for t:

Ln(25)=t*Ln(1.115)\\t=\frac{Ln(25)}{Ln(1.115)}\\t=29.57

Its is going to take about 29.57 years, rounding, 30 years

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$3.50M(miles)+$75.00=

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$3.50(30)+$75.00=

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$108.00 is the answer
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3 years ago
What is the trigonometric function period?
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The period of the trig function graph is 2pi

Go from crest to crest and measure the distance and that is the length of one period or 1 cycle of the wave.

Hope this helped! Any questions please feel free to ask. Have a great day!

4 0
3 years ago
Read 2 more answers
#1. Factor the expression. 4g^2+21g-49
juin [17]

1. You want to find factors of 4×(-49) that add to 21. Those would be +28 and -7. Replacing the term 21g with the sum 28g -7g, we get an expression that can be factored by grouping.

... (4g² +28g) + (-7g -49)

... = 4g(g +7) -7(g +7) = (4g-7)(g+7)

2. After you factor out 5, you have 5(64y² -16y -15). As in the previous problem, you're looking for factors of 64×(-15) = -960 that sum to -16. There are 14 factor pairs of 960, so it can take a little bit of effort to find the right pair. That pair is -40 and 24. As in the previous problem you replace the term -16y with the sum -40y +24y and factor by grouping.

... = 5(64y² -40y +24y -15) = 5(8y(8y -5) +3(8y -5))

... = 5(8y +3)(8y -5)

3. False. It is perhaps easiest to check this by multiplying out the offered factors. Doing that gives you 36k² -36k +8k -8. The collected k terms add to -28k, not -44k.

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4 years ago
What is the image of (-1,-2) after a reflection over the line y = x?
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Answer:

what line is it reflecting over?

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If it's reflected over both axis then (1, 2)

Step-by-step explanation:

May I have brainliest please? :)

8 0
3 years ago
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How do you solve this?
Naddika [18.5K]
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4 years ago
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