Zeke and Scarlett deposit $500.00 into a savings account which earns 5% interest
compounded annually. They want to use the money in the account to go on a trip in 3 years.
How much will they be able to spend?
= P 1 + , where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.

Answer:

u = 5

Step-by-step explanation:

[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]

We want to solve for u. This means we need to isolate u on one side of the equation.

To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.

[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]

Multiply the numerators and denominators separately.

4 • 15 = 60

5 • 1 = 5

[tex]u + 7 = \frac{60}{5}[/tex]

Simplify the fraction.

60 ÷ 5 = 12

u + 7 = 12

Subtract 7 from both sides.

u = 5

Check your work by plugging u = 5 back into the original equation.

[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]

[tex]\frac{12}{15} = \frac{4}{5}[/tex]

[tex]0.8 = 0.8[/tex]

Your answer is correct.

Hope this helps!

Answer:

5 is your answer for u.

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other.

First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):

[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]

First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:

[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]

Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:

[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]

Answer:

40 ounces

Step-by-step explanation:

Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.

Answer:

The peach will way more then the apple

Hope this helps you ☜(ﾟヮﾟ☜)

The weight of the peach is greater than the weight of apple

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the weight of apple be = 85,000 milligrams

And , let the weight of the peach be = 0.15 grams

Now , from the unit conversion

1 gram = 1000 milligrams

And , 1 kilogram = 1000 grams

So , the weight of apple A = 85 grams

And , the weight of the peach P = 150 grams

Therefore , P > A

Hence , weight of peach is larger

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Answer:

3 ang sagot

Step-by-step explanation:

hssjshhdhsjsisosokaksks

thx me later

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Answer:

3/25

Step-by-step explanation:

There are 10 total marbles

P(yellow) = yellow/total = 4/10 = 2/5

We replace it so there are 10 marbles

P(2nd marble blue) = blue /total = 3/10

Multiply the two probabilities together

P(yellow, replace, blue) =2/5*3/10 = 3/25

Answer:

3/25

Step-by-step explanation:

gvfhcfhvg fbdhuvd

Answer:

480. Since each one is 120 and there are 4 of them then its 120*4

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

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Answer:

36 is 12% of 300.

Step-by-step explanation:

Hopw this helped. Have an Amazing Day, Evening, or Night! : )

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]

z-value for 95% confidence = 1.96

E = 0.04  (given)

[tex]p=\dfrac{40}{200}=0.2[/tex]

[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]

Required sample size = 385

If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]

Required  sample size = 601.

Answer:

(x,y)=(-1.-2)

Step-by-step explanation:

Using the elimination method:

-27x+45y=-63

-35x-45y=125

---------------------

-62x=62-->x=-1

-3*(-1)+5*6=-7-->y=-2

Answer:

0.0603

Step-by-step explanation:

probabilty ethan picks an oatmeal and peanut butter cookie  = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie

probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies

probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies

total number of cookies = 7 + 7 + 7 + 8 = 29

probability of selecting an oatmeal cookie = 7/29

probability of selecting a peanut butter cookie = 7/28

after eating oatmeal cookies, the amount of cookies would reduce by 1

7/29 x 7/28

Answer:

(1, -7)

Step-by-step explanation:

If you need the work:

5x+3y =-16

5x= -3y -16

x= -3/5y - 16/5

---------------

Substitute x

-10x-3y=11

-10(-3/5y-16/5)-3y=11

y= -7

---------------

Substitute y

x= -3/5(-7) -16/5

x= 1

Answer:

[tex]s = 4\pi {r}^{2} \\ \frac{ds}{dr} = 8\pi r =8\pi(2) = 16\pi \\ from \: chain \: rule \\ \frac{ds}{dr} = \frac{ds}{dt} . \frac{dt}{dr} \\ but \: \frac{ds}{dt} = 1 \\ 16\pi = 1 \times \frac{dt}{dr} \\ \frac{dt}{dr} = 16\pi \\ \frac{dr}{dt} = ( \frac{dt}{dr} ) ^{ - 1} \\ \frac{dr}{dt} = \frac{1}{16\pi} [/tex]

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

The total area is 45 square inches.

This question requires your knowledge about the area of compound shapes. For solving this, you should:

The figure is composed of:

Therefore, you should sum the area of these geometric figures for determining the given  area.

Area of each square =  a², where a=the length of the side.

Like, the length of the side is equal to 3 in, the area will be:

A_square= 3²=9 in².

You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²

Area of the rectangle = bh . The figure shows that:  the base = 9 in and the 3=8 in

Thus,  A_rectangle=bh= 9*3=27in²

A_total= A_squares+ A_rectangle

A_total= 18+27=45 in²

A_total= 45in²

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fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.

  there is no solution

9514 1404 393

Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

__

8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

_____

Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

Answer:

x = 12 radical 2 ithink these is ansewer

Answer:

exact form: 5/3

decimal form: 1.6 (6 is repeating)

mixed number form: 1  2/3

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

1 1/4 x  1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3

Answer:

it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total