All categories

2 years ago

Hi! Can you please help me with problems? If you can, please show work. Thank you!

1 answer:

5 0

1.)
x + (x + 1) = 145
2x + 1 = 145
2x = 145 - 1
2x = 144
x = 72

if x is equal to 72
72 + 1 = 73

therefore the 2 integers is 72 and 73

2.
x + (x + 1) + (x + 2) = 54
3x + 3 = 54
3x = 54 - 3
3x = 51
x = 17

numbers are, 17, 18 and 19

You might be interested in

Please solve<br>I really need help

Llana [10]

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

The similarity statement tells you corresponding sides have the same ratio.

AB/BC = FE/EC

x/10 = 6/5

x = 10(6/5)

x = 12

7 0

3 years ago

Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers

At the movie theatre, an adult ticket costs $12 and a child’s ticket costs $6. As a group leader, you need to organize a trip to

alexandr1967 [171]

11 children tickets and 7 adult tickets.

3 0

3 years ago

A triangle has two sides with lengths 31 centimeters and 39 centimeters. Which best describes the length of the third side? A. l

PilotLPTM [1.2K]

Answer:

D. greater than 8 cm and less than 70 cm

Step-by-step explanation:

Given:

Length of one side = 39 cm

Length of other side = 31 cm

We need to find the length of third side.

Solution:

to find the length of third side we will use triangle Inequality property which states that;

"The length of the third side should be less than sum of the other two side."

Also;

"The length of the third side should be greater than difference of the other two sides."

Now Sum of 2 sides of triangle = 39 + 31 =70 cm

Also Difference of 2 side of triangle = 39 -31 = 8 cm

Hence The length of the third side should be greater than 8 cm and less than 70 cm.

8 0

2 years ago

What numbers is 15 divisible by

beks73 [17]

There are 3 numbers 15 can be divisible by and they are 1,3,5,

6 0

3 years ago

Read 2 more answers