A shirt normally costs $30 is on sale for $21.75. What percent of the regular price is the sale price?

The second of 2 numbers is 5 more than twice the first. Their sum is 29. Find the numbers. (With steps)

hodyreva [135]

So the equation is x + 2x + 5= 29
Here are the steps            -5    -5
                               -----------------------
                                        3x   = 24
      Divide both sides by 3 so you get
                                          x = 8
Then look back at the question, the second number has to be twice that number plus 5
                 So the 1st number is 8 The second # is 2(8)+5= 21

8 0

3 years ago

What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?

Neporo4naja [7]

Answer/Step-by-step explanation:

A series is events coming one after another but a sequence is in a certain order.

arithmetic is the difference between two constant terms while geometric is the ratio between two constant terms.

arithmetic: -

geometric: ÷

5 0

3 years ago

Help me plsssssssssssss

Zinaida [17]

Answer:

40mph

Step-by-step explanation:

(60mph+20mph)/2

40

7 0

3 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

3 years ago

Please Help!!!! Find two consecutive odd numbers whose product is 47 more than their sum.

fenix001 [56]

7 and 9

7 x 9 = 63

7+9=16

63-16 = 47

7 0

2 years ago