Gavin is 5 years older than David. Bridget is 4 years younger than David. If the total of their ages is 61, how old is the youngest of them?

Answer:

The amount in the account after 3 years is $672.00

Step-by-step explanation:

Here, we want to use the compound interest formula

A = P(1 + r/n)^nt

A is the amount in the account after the given time

P is the principal which is the deposit amount = $600

r is the interest rate = 3.85% = 3.85/100 = 0.0385

n is the number of times interest is compounded yearly (since it is annually, n = 1)

t is the time in years = 3

Substituting these values;

A = 600(1 + 0.0385/1)^(3 * 1)

A = 600(1.0385)^3

A = $672

Answer:

120

Step-by-step explanation:

The formula for a triangle is 1/2bh

so u first multiply 12 by 20 which you will get 240.

After you get 240 u multiply it by the 1/2 which also means dividing by 2.

240 divided by 2 is 120.

Answer:

Step-by-step explanation:

radius r = 10/2 = 5 ft

height h = 5 ft

Volume = πr²h = π(5²)(5) = 125π ≈ 392.7 ft³

[tex]4(t+\frac{1}{4})=3[/tex]   distribute by multiplying 4 into the parenthesis.

[tex]4t+1 = 3[/tex]

    [tex]-1[/tex]   [tex]-1[/tex]     subtract 1 on both sides, solve for 3 - 1, which is 2.

__________

[tex]\frac{4t}{4} =\frac{2}{4}[/tex]     divide 4 on both sides.

[tex]t = \frac{2}{4}[/tex]       simplify 2/4.

[tex]t = \frac{1}{2}[/tex]       final answer

hope this helps :)

Answer:

x^3-8x^2+5x+14

Step-by-step explanation:

(x+1)(x-2)(x-7)

x^3-8x^2+5x+14

Answer:

32:3

Step-by-step explanation:

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.

Answer:

its 10 points...

Step-by-step explanation:

but b

Answer:

Actually i don't know what is the wanted but now

i will find the total of the teenagers.

Step-by-step explanation:

[tex] \frac{4000}{45\%} = \frac{x}{100\%} \\ x = \frac{4000 \times 100}{45} \\ x = 8889 \: \: teenagers[/tex]

I hope that is useful for you :)

Answer:

this is tating the plant

Answer:

10/4 or 15/6

Step-by-step explanation:

Answer:

There are 600 gumballs

Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

Answer: you need a picture

Step-by-step explanation:

picture of ?????????

Step-by-step explanation:

picture dude

Answer:

the solution to that is 26.

Answer:

26

Step-by-step explanation:

Substitute x = - 6 into the expression

x² + x - 4

= (- 6)² + (- 6) - 4

= 36 - 6 - 4

= 30 - 4

= 26

Answer:6

Step-by-step explanation:

Answer: 23 2/3 points

Step-by-step explanation:

First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.

We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.

The students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

Addition in math is a process of combining two or more numbers.

Given that, A class spent hour on art and 1 /3 hours on art and [tex]1\frac{1}{3}[/tex] hour  on mathematics.

To find the total time, will add both the time,

[tex]=\frac{1}{3} + 1\frac{1}{3}\\ = \frac{1}{3} + \frac{4}{3} \\= \frac{5}{3} \\= 1\frac{2}{3}[/tex]

Hence, the students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

Learn more about addition, click;

https://brainly.com/question/29560851

#SPJ1

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8/2=4

Answer:

The relative frequency of 45 is 1

Step-by-step explanation:

Answer:

B)502.4

i tried it that what i got i don't know about u

Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

Answer:D

Step-by-step explanation:

D will go with each funcuation.

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66

Answer:

Diagonal of the rectangle = 13 units   c =13

side of rectangle = 12 units         a = 12

area of the rectangle = l× b

In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.

formula ; a²+b²=c²    a = 12 , c = 13

             12²+b² = 13²

            144 + b² = 169

            b² = 169 - 144

                =25

b   = 5 units

a  = 12 units

Step-by-step explanation:

Answer:

6x^3-6x^2+42x

Step-by-step explanation:  hoped i helped

Answer:

Step-by-step explanation:

6x(x²-x+7) = 6x³-6x²+42x

Answer:

y= 3x+1

Step-by-step explanation:

(0,4) shows the y-intercept of +4

Use slope formula to find slope:

7-4/2-1 = 3/1 = 3

M (slope)= 3x

Answer:

y=3x+1

Since we know that the line is increasing by 3 and since when x is equal to zero, and y is equal to 1 we know that we will need to add 1.

So Y=3x+1

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps