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Llana [10]
3 years ago
8

Suzanne bought a sofa for d dollars and paid 8% sales tax, write two different expressions that represent the total number of do

llars, including tax, that Suzanne spent, and show or explain why the expressions are equivalent.
Mathematics
1 answer:
Art [367]3 years ago
3 0

If the answer below helps you please consider making it brainliest as it helps me out.

Answer:

d + (d • 0.08)

d(1+0.08)

Let’s say that d is equal to 50.

50 + (50 • 0.08) = 54

50(1+0.08) = 54

Hope this helps!

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After a deposit of $250, a withdrawal of $312, and a
pochemuha

114.50 if you add everything together and then subtract 67.50 you’ll get your answer

3 0
3 years ago
Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
Please help and explain please. would appreciate it!Can someone please help and explain!
Dahasolnce [82]

Answer:

x = 32 in

Step-by-step explanation:

8/34 = x/136

34x = 1088

x = 32 in

4 0
3 years ago
Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri's accou
tester [92]

It will take 54 days for Teri's account to earn an amount of $5000.

<h3>What is compound interest?</h3>

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

It is given by formula

A = p*e^{r*t}

where:

A is final amount

p is principal amount

r is rate of interest and

t, is time period

Given: A= $5000, p=$1500, r=2.25% = 0.0225

To find: time period to get compounded amount

5000=1500×e^{0.0225*t}

e^{0.0225t} = \frac{10}{3}

0.0225t = ㏑ (\frac{10}{3})

t = 53.5099 ≈ 54 days  

Learn more about compound interest here:

brainly.com/question/3989769

#SPJ1

7 0
1 year ago
Find the equation of the line with the given description: horizontal, passes through (0,11).
Svet_ta [14]
Y = 11

random text bla bla bla
7 0
3 years ago
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