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Radda [10]
4 years ago
10

Carmen needs $3560 for future project. She can invest $2000 now at annual rate of 7.8%, compound monthly. Assuming that no withd

rawals are made, how long will it take for her to have enough money for her project?
Mathematics
2 answers:
dedylja [7]4 years ago
6 0

Answer:

  7.42 years (7 years 5 months)

Step-by-step explanation:

The future value of Carmen's account can be modeled by

  FV = P(1 +r/12)^(12t)

where P is the principal invested, r is the annual rate, and t is the number of years.

Solving for t, we have ...

  FV/P = (1 +r/12)^(12t)

  log(FV/P) = 12t·log(1 +r/12)

  t = log(FV/P)/(12·log(1 +r/12))

For FV = 3560, P=2000, r = 0.078, the time required is ...

  t = log(3560/2000)/(12·log(1 +.078/12))

  t ≈ 7.42

It will take Carmen about 7 years 5 months to reach her savings goal.

Archy [21]4 years ago
6 0
I’m not sure I think it’s 10
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Helpp pleasee enough points
lara31 [8.8K]

Answer:

Ok, I did this unit a little while ago but I think I solved it:

Hyp = 16

Opp = 8

Adj = 13.856

0 = 30 degrees

Step-by-step explanation:

You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.

Now you have to use the pythagorean theorem for the third side (adj), so:

a^2 + 8^2 = 16^2

The answer would be around 13.856 (round to what's required.)

Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:

sin-1(0)=8/16

so on your calculator, you should put:

sin-1(8/16)

the angle measure is 30, meaning its a 30 60 90 triangle.

4 0
2 years ago
What is the value of 3x^2– 7x + 9 when x = 4?
xxMikexx [17]

Answer:

29

Step-by-step explanation:

just substitute x with 4 in the equation :)

6 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
jonny [76]

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       y = -x^2 + 72x -458

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      y = ax^2 + bx + c

The vertex ( turning point ) or maximum/minimum point is given as:

                     x = -\frac{b}{2a} \\\\x =  -\frac{72}{-2} = 36

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838

The maximum profit would be y = $838

4 0
3 years ago
Describe one method you can use to write a fraction as a decimal.
arsen [322]
If you have a whole dollar then split it up into quarters. 4 quarters is 1 dollar. so take one quarter (25¢) So decimal from would be .25
faction form would be 1/4. beacuse if you multiple .25 × 4 it would be 1. and multiple
1/4 × 4/1 it would be 4/4 which equal 1
3 0
3 years ago
Read 2 more answers
ASAP: I need as soon as possible with this question I have taken a picture of. If you could tell me how to do it and the answer,
butalik [34]

Answer:

Step-by-step explanation:

The smallest zero is x=-7 with multiplicity of 1

The middle zero is x=2 with the multiplicity of 2

The largest zero is x=0 with the multiplicity of 7.

So, basically you just find the zero for each of the terms by setting em equal to 0 and then the multiplicty of it is the exponent for that particular term!

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0
3 years ago
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