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likoan [24]
3 years ago
12

Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,16

0 in simple interest?
Pls show all work
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

SI= PRT/100

substitute

8160 = 34000*4.8*T/100

cross multiply we have

8160*100= 34000*4.8*T\\\\816000= 163200T\\\\

divide both sides by 163200

816000/163200= T\\\\T= 5 years

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Answer:

10

Step-by-step explanation:

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Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years. Ho
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Answer: her interest in 3 years is $45

Step-by-step explanation:

For simple interest, the principal is not compounded. The interest is only on the original capital. The formula for simple interest is expressed as

I = PRT/100

Where

I represents the interest on the principal

P represents the initial amount

R represents the interest rate.

T represents the time in years.

From the information given

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3 0
3 years ago
which of the following expressions does not contain any like terms? a. 2x^2+3x-4x+2 b. xy+yz-17 c. x^3+x^2-2x-x^2 d. 14+8+y
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Answer : B


The expression xy+yz-17 do not contain any like terms


I hope that's help !

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3 years ago
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

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y'' - 3y' + 2y = 0

The characteristic equation

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y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

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ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
A certain company makes three grades (A, B, and C) of a particular electrical component. Historically, grade A components have a
IrinaK [193]

Answer:

following are the solution to this question:

Step-by-step explanation:

In part (a):

Phase 1: Identifies a reasonable confidence period with both the title or form and checks suitable conditions. one z-interval test, p, that true percentage of defective parts in such a lot of Clauses:

1. Unique component sampling

2. This survey size is enough, to the fact to conclude the composition of that percentage of a sample was roughly natural, which the amount for successes and the number of losses are either greater than 10 (or 5 or 15). Needs to check: A 200-component representative selection of a big batch was picked. Each has far more than 15 achievements or failures (16 and 184).

Phase 2: Mechanisms Correct Pick problems for Pink and Blue it Committee of a College. Similar products are part of the program of a College Board. It is prohibited for such resources to be used and distributed online or in a printed form far beyond the participation of the college in the package, which leads to intervals (0.0424, 0.1176).

Phase 3: Background analysis In just this study, we consider 95% of its computed value to have between 4.24% and 11.76% for both the real number of defective components within the batch.

In part (b):

Its standard deviation of 95 percent found in Part (a) allows a company to eliminate class A as its 2 percent faulty rate is not among the computed value within this interval. It period however does not enable the company to decide between levels B and C, since the two faulty rates (5% and 10%) were examined.

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4 0
3 years ago
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