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Hoochie [10]
3 years ago
8

A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a ban

k account paying simple annual interest. The statement showed that originally $500 had been put into the account. When he called the bank, he found that there is now $1550 in the account! What is the annual interest rate?
Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0

Answer:

x = 0.0384

Step-by-step explanation:

500(1+x)^(30)=1550

Tamiku [17]3 years ago
5 0

Answer:

7%

Step-by-step explanation:

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Simplify each expression by combining like terms. <br>7a - 6 + 8a ​
anygoal [31]

=7a - 6 + 8

=7a + 8a - 6 =15a - 6

5 0
3 years ago
Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. She has
Varvara68 [4.7K]

Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

<h3>What is the unit price?</h3>

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

C=60\times50\\C=3000

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

P=60+5\\P=65

The sale's price of 50 earrings is,

P=50\times65\\P=3250

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

P=3250-60\\P=3190

The profit made by her company on 50 earrings is

p=P-C\\p=3190-3000\\p=190

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

Learn more about the unit price here;

brainly.com/question/25879801

#SPJ1

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=494%20divided%20by%2019%2C594" id="TexFormula1" title="494 divided by 19,594" alt="494 divided
Vaselesa [24]
0.02521179 jdjdjdduhdbdjdhdhj
3 0
2 years ago
three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

<em><u>Solution:</u></em>

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0
3 years ago
Solve the rational function of (check image) and check for extraneous solutions
Oxana [17]

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

\frac{5}{x}=\frac{4x+1}{x^2}

Solving the rational function

\frac{5}{x}=\frac{4x+1}{x^2}

Apply fraction across multiply: if \frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c

5x^2=x\left(4x+1\right)

Subtract x(4x+1) from both sides

5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)

Simplify

5x^2-x\left(4x+1\right)=0

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

so

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x=0\quad \mathrm{or}\quad \:x-1=0

Thus, the solution to the equation is:

x=0,\:x=1

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

5 0
3 years ago
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