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krok68 [10]
3 years ago
5

Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest

, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

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A car traveled 180 miles at a constant rate. Write an equation that would
Mnenie [13.5K]

Answer:

180/t = r

Step-by-step explanation:

In this question, we would have to write an equation that represents the scenario given.

We know that the car traveled 180 miles at a constant rate.

We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"

We know that 180 will be our y-variable, since that would be the base of the equation:

180 = ???

And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.

Plug it into the equation:

180 = rt

With this set up, you can find the rate of speed of the car when you know the time.

You would simply solve it as:

180/t = r

7 0
3 years ago
If sin 20 degree=a and cos20 degree=b then which of the following represents the correct value of sin 70 degree in terms of a an
Scorpion4ik [409]

ANSWER

3) b

EXPLANATION

Given that:

\sin(20 \degree)  = a

and

\cos(20 \degree)  = b

Recall that the sine and cosine functions are equal for complementary angles.

This implies that,

\sin(70 \degree)  =  \cos(20 \degree)

\sin(70 \degree) = b

5 0
3 years ago
PLEASE HELP I NEED HELP I don’t get this
sergiy2304 [10]

Answer:  The first question is a corrosponding angle, which means the measure is the same.  So, angle KRQ is 146°.

And QRN is 128°.

7 0
2 years ago
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
3 years ago
How to solve (5 x 2)^10 -2/ 2^5
seraphim [82]

Answer: 1: multiply the numbers

2: Evaluate the exponent

3: solution  159/16

Step-by-step explanation:

8 0
3 years ago
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