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BARSIC [14]
3 years ago
11

The silver town people went to a fancy restaruant after the big event.Grammy gave the server a $15 tip.If the tip was 20 percent

of the cost of dinner,how much was dinner.
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

$75.  

Step-by-step explanation:

We have been given that Grammy gave the server a $15 tip. The tip was 20% of the cost of dinner.

Let x be the cost of Grammy's dinner. We need to find x such that 20% of x equals to 15. We can represent this information as:

\frac{20}{100}x=15

0.20 x=15

x=\frac{15}{0.20}  

x=75

Therefore, the cost of Grammy's dinner was $75.

You might be interested in
You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35
ozzi

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. \frac{102.50}{140}

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

  • Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

  • Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

  • A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

\frac{102.50}{140}



6 0
3 years ago
Read 2 more answers
Please help!! With step by step
Sever21 [200]

Answer:

R=\$145.12

Step-by-step explanation:

<u>Compound Interest</u>

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

P=F_a\cdot R

Solving for R

\displaystyle R=\frac{P}{F_a}

Where Fa is computed by

\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}

We'll use the provided values but we need to convert them first to monthly payments

i=7\%=7/(12\cdot 100)=0.00583

n=3*12=36

\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}

F_a=32.386

Thus, each payment is

\displaystyle R=\frac{4,700}{32.386}=145.12

\boxed{R=\$145.12}

4 0
3 years ago
What is a rational number
dsp73
Anything except pi is a rational number. So 9 and 7/10 is one or it could be a whole number
7 0
3 years ago
Bob wants $50,000 at the end of 7 years in order to buy a car. if his bank pays 4.2% interest, compounded annually, how much mus
Furkat [3]
<span>The correct answer is $1452.50 per year.

Explanation:<span>
We use the formula
</span></span>P(1+\frac{r}{n})^{nt}+PMT(\frac{[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}})\times (1+\frac{r}{n}),<span><span>

where P is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, PMT is the monthly deposit added, and t is the number of years.

Since the amount of principal is not stated, we will assume that Bob is depositing the same amount every following year as he does the first year, so we will let PMT=P.

Our interest rate, r, is 4.2%; 4.2%=4.2/100=0.042.

The number of times the interest is compounded annually, n, is 1.
The amount of time, t, is 7.

We know he wants $50,000. This gives us the equation
50000=P(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>+P{[(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>]/(0.042/1)}*(1+0.042/1).

Simplifying this a bit, we have
50000=P(1.042)</span></span>⁷<span><span>+P((1.042</span></span>⁷<span><span>)/0.042)*(1.042).

We can factor out P, giving us
50000=P[1.042</span></span>⁷<span><span>+((1.042</span></span>⁷<span><span>)/0.042)*1.042].

This then gives us
50000=P(34.4234).

Divide both sides:
50000/34.4234 = (P(34.4234))/34.4234,

which gives us P=1452.50.</span></span>
4 0
3 years ago
Read 2 more answers
(2 x 106) x (0.00009) = ?
RSB [31]

I think you meant to write

(2 × 10⁶) × 0.00009

First, convert 0.00009 to scientific notation:

0.00009 = 9 × 10 ⁻⁵

Then

(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)

… = (2 × 9) × (10⁶ × 10 ⁻⁵)

… = 18 × 10¹

… = 1.8 × 10²

4 0
2 years ago
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