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Goryan [66]
3 years ago
7

Kathryn deposits 100 into an account at the beginning of each 4-year period for 40 years. The account credits interest at an ann

ual effective interest rate of i. The accumulated amount in the account at the end of 40 years is X, which is 5 times the accumulated amount in the account at the end of 20 years. Find X
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

X=6.195

Attached please find equation.

Step-by-step explanation:

Let 1+i∗=(1+i)4 so that the calculation using annuity

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The sum of a number x and 13 is two less than three times x​
PilotLPTM [1.2K]

Answer:

x+13=3x-2. the answer for x is 7.5

6 0
3 years ago
A particle moves along the x–axis so that at time t its position is given by x(t) = (t+1)(t–3)3. For what values of t is the vel
rosijanka [135]

I'll assume that's an exponent at the end there:

x(t) = (t+1)(t-3)^3

The first derivative gives the velocity.  The second derivative gives the acceleration; increasing velocity is the same as positive acceleration.  So we want to find when the second derivative is positive.

Let's see if we can use d(uv) = u\, dv + v\, du to avoid multiplying this out.

x'(t) = 3 (t+1)(t-3)^2 + (t-3)^3

That worked; let's do it again:

x''(t) = 3( 2(t+1)(t-3) + (t-3)^2) + 3(t - 3)^2

x''(t) = 3(t-3) ( 2(t+1)  + (t-3) + (t - 3) ) = 3(t-3)(4t-4)=12(t-1)(t-3)

That's a nice parabola.  It's zero or negative for 1 \le t \le 3 so positive everywhere else:

Answer: Increasing velocity when t < 1 or t > 3


4 0
3 years ago
How to do this please Explain Thank you
Maurinko [17]

Answer:

x = 47

Step-by-step explanation:

There Are Many Methods In Which You Can Do It.

X = 47 ( Alternate Angles)   <em>//Alternate angles are angles that are in opposite  positions relative to a transversal intersecting two lines.</em>

<em />

6 0
3 years ago
Read 2 more answers
9. Nick Antonelli sells for Discount Appliance, Inc. His weekly base salary is
True [87]

When the base salary was $400 with 5% commission gross pay was $893.00

When the base salary increased by 6% with 5% commission gross pay was $917.00

When base salary was $400 and the commission increased to 15% gross pay was $1,879.00

What is the gross pay of Nick Antonelli?

The gross pay is the base salary of $400 plus 5% of all his sales

base salary=$400

sales revenue=$9,860

5% of all sales=5%*$9,860

5% of all sales=$493.00

gross pay=$400.00+$493.00

gross pay=$893.00

What is the new base salary with a 6% increase?

new base salary=$400*(1+6%)

new base salary=$424.00

5% of all sales=$493.00

gross pay=$424.00+$493.00

gross pay=$917.00

What is the new commission rate with a 10% increase?

The new commission rate is 15%(10%+5%)

new commission=15%*$9860

new commission=$1,479

gross pay=$400+$1479

gross pay=$1,879.00

Find out more about gross pay on:brainly.com/question/19566439

#SPJ1

5 0
2 years ago
What is the area of the rhombus?
Aleksandr [31]

Answer: 24 square units

Step-by-step explanation:

Given that the

Length of one diagonal will be:

p = 3+3 = 6 units

The length of other diagonal will be

q = 4+4 = 8 units

Area of a rhombus= (p × q)/2

= (6×8)/2

= 48/2

= 24 square units

6 0
4 years ago
Read 2 more answers
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