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3 years ago

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Diamond took out a 3-year loan for $2825 at a sports-equipment store to be paid back with monthly payments at a 7.8% APR, compou

nded monthly. If the loan offers no payments for the first 7 months, how much will Diamond owe when she begins making payments?

1 answer:

Assoli18 [71]3 years ago

7 0

The answer on apex is$2956.07

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What is the slope of -4=y+4x?

icang [17]

The slope would be -4.
I hope this helps!!

3 0

3 years ago

Read 2 more answers

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

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

Solve the homogeneous ODE,

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

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

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

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

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

and solve for $c$ .

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

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

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Natasha_Volkova [10]

Answers:

A: 11(2x-1)

B: 121 cupcakes

Step-by-step explanation:

<u>Part A: </u>

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

$5(2x -4) + 3(3 + 4x)$

Applying distributive property:

$10x-20+9+12x$

Grouping similar terms:

$22x-11$

Applying common factor $11$ :

$11(2x-1)$ This is the simplified expression

<u>Part B:</u>

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if $x=6$ :

$11(2(6)-1)$

$11(12-1)=11(11)=121$ Hence, Mrs. Jones baked 121 cupcakes last week

7 0

3 years ago

Y=6x/5 +27 find y-intercept and slope

mixas84 [53]

Answer:

General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.
$y = \frac{6(0)}{5 } + 27 \\ y = \frac{0}{5} + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\$
By comparison,
$y = mx + \: c \\ y = \frac{6}{5} x \: +27 \\ m = \frac{6}{5 \: } \: \\ hence \: slope \: is \: \frac{6}{5}$

5 0

3 years ago

At age 25, you decide to start your retirement account, and put $700 at the end of each quarter into an account paying 7.25% com

Veronika [31]

Answer:

44.5 is the best

Step-by-step explanation:

3 0

4 years ago