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zimovet [89]
2 years ago
6

Rochelle deposits $5,000 in an IRA. What will be the value of her investment in 25 years if the investment is earning 8% per yea

r and is compounded continuously? Round to the nearest cent.
Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

Answer:

\$36,945.28  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=25\ years\\ P=\$5,000\\ r=8\%=8/100=0.08

substitute the values in the formula

A=5,000(e)^{0.08*25}  

A=5,000(e)^{2}  

A=\$36,945.28  

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12 1/4 feet wide stream so it is 1 feet and 9 inches shorter
4 0
2 years ago
If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?
Diano4ka-milaya [45]
So if there are 3 boys to every 4 girls, and there are 42 boys, the answer would be 42 to 56????? I'm not quite sure, and it's probably wrong, but that's how we learned in my school.
3 0
2 years ago
Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

8 0
2 years ago
Brainly to whoever is first and right:) - In quadrilateral ABCD, AB = BC = 1, m∠B=100°, m∠D=130°. Find BD
n200080 [17]

Answer: 1

B is the center of a circle of radius 1.  A and C are on the circle 100 degrees apart.  So arc AC is 100 degrees.  Arc AC the long way around is 360-100=260 degrees.   That means any point D on arc AC will subtend a 130 degree angle.  BD is a radius for all of those, and the radius is 1.

7 0
2 years ago
What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?
strojnjashka [21]

Answer:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3} }{2}

Step-by-step explanation:

To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.

To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:

x=\frac{-b±\sqrt{b^{2}-4ac}}{2a}

So, the first thing we're going to do is divide the whole function by 6:

6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6

This step is optional, but it makes things quite easier.

Then we using the quadratic formula, where:

a=1, b= 2, c = -7/6.

Then:

x=\frac{-2±\sqrt{2^{2}-4(1)(-7/6)}}{2}

x=\frac{-2±\sqrt{4 +14/3}}{2}

x=\frac{-2±\sqrt{26/3}}{2}

So the zeros are:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3}}{2}

4 0
2 years ago
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