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belka [17]
3 years ago
6

Sams brother is 7 years older than Sam. His mother is 4 less than 3 times sams age. Their combined age is 63. How old isn’t Sam,

his brother, and his mother
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

The answer is 14. This is because 63=3+x+3x-4. Then You just subtract it and then you get 64=4x. Then you just divide it and then you get x=16.

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HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga
bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0
3 years ago
Please help<br> do step by step<br> I learn diff
Lesechka [4]
1.5 use a calculator
6 0
2 years ago
Read 2 more answers
Help Me Please!!!!1
Lena [83]

Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube  Length. L =  Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = \frac{4}{3} \pi r^3

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = \frac{4}{3} \times  \pi \times 7^3 = 1436.76 \ in^3

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

7 0
3 years ago
What are the solutions of the quadratic equation? 4x^2+34x+60=0
insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^{2} +34x+60=0  

so

a=4\\b=34\\c=60

substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

x=\frac{-34(+/-)\sqrt{196}} {8}

x=\frac{-34(+/-)14} {8}

x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}

x_2=\frac{-34(-)14} {8}=-6

6 0
2 years ago
Simplify two to the fifth power over three to the second power
Savatey [412]
[/tex]\frac{32}{9}
This changes to a mix fraction
3 [tex] \frac{5}{9}
8 0
3 years ago
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