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Juliette [100K]
2 years ago
13

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
tiny-mole [99]2 years ago
4 0

Answer:

x=18.0

Step-by-step explanation:

x^2=a^2+b^2-2ab\;cos\; (30)

x^2=16^2+30^2-2(16)(30)cos(30)

x^2=324.62

x=18.0

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Ronisha invests $5000 in an account that earns 2.3% annual simple interest. After 3 years, Ronisha invests the interest earned i
tia_tia [17]
Very complicated problem, but thank goodness I have too much time and am a nerd.

Basically model 1st account as so.
Fv=pv(1+I)^N
Fv future value
Pv present value
I interest
N number years
So first equation is interest earned after 3 years
Y=5000(1+0.023)^3
Y=5353 (rounded up)
So we know that the interest earned is 5353-5000 which is 353.

Now Ronisha (clearly the name of a future investment genius) invests these 353$ in a new account.
Now remember we’re not solving for FV we’re cause we’re given that: 55.2$
However this is the interest earned not the future value. So if interest earned is fv - pv and we know pv
Fv - 353 = 55.2
Fv = 408.2$
So now we reuse the formula
408.2 = 353(1+0.032)^x
Now just solve for x:
First divide both sides by 353
1.156 = 1.032^x
Remember the log rule that states x=b^y is same as y=logb(x)
So using the same logic:
X= log1.032(1.156)
Use some kind of calculator for that where you can adjust log base. But you basically get:
X= 4.602
So Ronisha has to basically invest 5 years or 4.6 years which is 4 years and 7 months.

Omg nevermind, wait it’s simple interest….
Sorry here’s the simple solution. My bad, but I worked so hard on the top part I don’t want to delete it.
I=prt
Interest = principal * rate * time
I= 5000(0.023)(3)=345
Then just do the same but plug 55.2 for I
55.2 = 345(0.032)t
Now solve for t
55.2 = 11.04t
t= 5

As you can see, similar logic where ultimately it takes 5 years. But this “genius” Ronisha should’ve just done compounding interest (my first calculation) and gotten it done in 4.6 years. Almost 5 months faster.
6 0
2 years ago
four people in abes family are traveling to Canada for their vacation.They have four seats in the center section of the plane.Ab
melamori03 [73]
I think 12. I'm not sure though. The way I came up with that answer is the tree diagram. I used the numbers 1, 2, 3, 4, . Then I did the tree diagram method.
3 0
3 years ago
State restrictions on the variable.
Mandarinka [93]
There's one unforgivable taboo that transcends just about every branch of mathematics, and that's dividing by zero. Division by zero is undefined, so any fraction with a zero in its denominator is by definition absurd. For what values of x would the denominators on either of those fractions be zero? Those will define the restrictions on your variable.
7 0
3 years ago
*cassually dances to “Savage Love” by Jason Durulo cause I’m ALMOST DONE!*
Montano1993 [528]

Answer:

savage love

Step-by-step explanation:

7 0
2 years ago
Problem 10-01 NPV A project has an initial cost of $66,950, expected net cash inflows of $14,000 per year for 9 years, and a cos
svlad2 [7]

Answer:

NPV = $13,676.33

Step-by-step explanation:

First, find the present value of the cash inflows. You can solve this question using a Financial calculator;

14,000 per year is a recurring cashflow hence the PMT

PMT = 14,000

I/Y = 10%

N= 9

FV =0

then CPT PV = 80,626.33

NPV = -Initial investment + PV of future cash inflows

NPV = -66,950 + 80,626.33

NPV = $13,676.33

"NPV" button, then , then "CPT".

The answer to the NPV = $13,676.33

5 0
2 years ago
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