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:

ln(x)

Step-by-step explanation:

if you need the steps  .. it's very long... but the answer is easy

ln(x)  

Answer:

x = (a-4)/c

Step-by-step explanation:

1) Multiply 6 for a and -cx

6a - 6cx = 24

2) Add -6a at the two members

-6cx + 6a -6a = 24-6a

-6cx = 24 -6a

3) Multiply the two members by -1

6cx = 6a - 24

4) divide the two members by 6c (assuming that its values is not 0)

x = (6a-24)/6c

5) simplify the second member

x = [6(a-4)]/6c

x = (a-4)/c

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Answer:

3.5%

Step-by-step explanation:

Interest = 10100 - 8000 or 2100

I = Prt

2100 = 8000(9/12)r

2100 = 600r

2100/600 = r

3.5 = r

Answer:

8

Step-by-step explanation:

plz me

Answer:

4+4=8

Step-by-step explanation:

.................

9514 1404 393

Answer:

  1 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of corresponding linear dimensions.

  Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64

  Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m

The volume of figure A is 1 m³.

Answer:

( a) Find the lateral area (in square meters) of the prism.

answer:

the lateral area=perimeter of triangle ×height=

(4+5+6)×8=120m²

(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)

answer:

total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+20=140m²

(c) Find the volume (in cubic meters) of the prism. answer:

volume of prism=area of base×height=1/2×4×5×8=80m³

Answer:

True

Step-by-step explanation:

sin(130)

sin(180-50)

By difference rule for sine

sin(180)cos(50)-sin(50)cos(180)

0*cos(50)-sin(50)*-1

0+sin(50)

sin(50)

The answer is true.

Answer:

she worked 196 hours

Step-by-step explanation:

just divide 2156 by 11 :p i hope im right lol.

Answer:

196 hours

Step-by-step explanation:

$2156÷$11=196 hours

Answer:

[tex]V=20.52\ in^3[/tex]

Step-by-step explanation:

Given that,

The radius and the height of the cylindrical soup can are 1.1 inch and 5.4 inch.

We need to find the volume of the can.

The formula for the volume of the can is given by :

[tex]V=\pi r^2 h\\\\V=\pi \times (1.1)^2 \times 5.4\\\\V=20.52\ in^3[/tex]

So, the volume of the can is equal to [tex]20.52\ in^3[/tex].

Answer:

X= 15.6

Step-by-step explanation:

Hope it was helpful ;)

Answer:

[tex]x = \frac{78}{5} [/tex]

Step-by-step explanation:

[tex]2.5x - 11 + 11= 50 - 11 \\ 2.5x = 39 \\ \frac{2.5x}{2.5} = \frac{39}{2.5} \\ x = \frac{78}{5} [/tex]

Answer:

6.8

Step-by-step explanation:

4.3+2.5=6.8

6.8-4.3=2.5

Answer:

6.8 is x value to be put

Answer:

Step-by-step explanation:

Ok, lets list the important things

The 4 options are:

We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.

the chance of option 1 happening is 9/12 which is 3/4 which is 75%

the chance of option 3 of happening 4/5 which is 80%

option 1 has a 75% chance

option 2 has a 100% chance

option 3 has an 80% chance

option 4 has a 0% chance

this means that the order is:

1. option 4

2. option 3

3. option 1

4. option 2

because it is least likely to most likely.

hope this helped you out and if you need any questions feel free to ask

good luck in maths!

-cheesetoasty

Answer:

122,850 yd³

Step-by-step explanation:

The polyhedron is a right triangle prism

Area of the right triangle prism = ½*a*c*h

a = 91 yd

c = 60 yd

h = 45 yd

Volume = ½*91*60*45

= 122,850 yd³

Answer: no their is not a number that comes before the value

Step-by-step explanation:

Answer:

a=52

b=128

r=s=100

Step-by-step explanation:

Answer:

simple

Step-by-step explanation:

365 x 10 = 3650 feet

took you 1 year

and adding on sea level 1,312 feet

3650 + 1,312 = 4962 in 1 year

hope im right

Answer:

0.0750 I took the test

The experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%, which is closest to answer option B.

Probability is a statistical term that describes the possibility that something will occur.

Since there is only one blue marble in the bag, the likelihood of getting a blue marble on the first draw is 1/6.

After the blue marble is replaced, the probability of drawing a yellow marble on the second draw is 2/6, since there are now 2 yellow marbles out of a total of 6 marbles in the bag.

The probability of sketching a blue marble and subsequently a yellow marble in the same attempt is:

P(blue then yellow) = P(blue) x P(yellow | blue)

P(blue then yellow) = (1/6) x (2/6)

P(blue then yellow) = 1/18

Since the marbles are replaced after each draw, the probability of drawing a blue marble and then a yellow marble is independent of one attempt to the next.

The experimental probability of pulling a blue marble and then a yellow marble in 40 attempts can be calculated by dividing the number of times it occurred by the total number of attempts:

Experimental probability = number of times blue then yellow was pulled / total number of attempts

Experimental probability = 3 / 40

Experimental probability = 0.075

Therefore, the experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%.

Learn more about probability here:

brainly.com/question/11234923

#SPJ6

Answer:

Combine multiplied terms into a single fraction

13(−6+4)=−112(4+4)

13(−6q+4)=−112(4q+4)\frac{1}{3}(-6q+4)=\frac{-1}{12}(4q+4)31​(−6q+4)=12−1​(4q+4)

1(−6+4)3=−112(4+4)

1(−6q+4)3=−112(4q+4)\frac{1(-6q+4)}{3}=\frac{-1}{12}(4q+4)31(−6q+4)​=12−1​(4q+4)

2

Multiply by 1

3

Combine multiplied terms into a single fraction

4

Distribute

5

Multiply all terms by the same value to eliminate fraction denominators

6

Cancel multiplied terms that are in the denominator

7

Distribute

8

Subtract

16

161616

from both sides of the equation

9

Simplify

10

Add

4

4q4q4q

to both sides of the equation

11

Simplify

12

Divide both sides of the equation by the same term

13

Simplify

Show less

Solution

=1

Step-by-step explanation:

Answer:

q=1

Step 1: Simplify both sides of the equation.

Step 2: Add 1/3q to both sides.

Step 3: Subtract 4/3 from both sides.

Step 4: Multiply both sides by 3/(-5).

Answer:

150 pairs

Step-by-step explanation:

so total money spent Is equal to 5000

profit is equal to 3000

profit on each pair is equal to 20

so 3000 divided by 20

which gives 150

so 150 pairs of sunglasses were involved

pls give me brainliest I need it

Answer:

The sunglasses involved are 200

9514 1404 393

Answer:

  C  10x = 150

Step-by-step explanation:

The marked angles are vertical angles, so are congruent. The appropriate equation is the one that shows they are equal to each other:

  10x = 150

Answer:

she puts the pennies into equal stacks

Step-by-step explanation:

I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8

Answer:

C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?

Step-by-step explanation:

Answer:

  320,000/10=32000

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

I agree with this statement. Biodiversity indicates the health of the ecosystem. Maintaining biodiversity can provide clean air, water, pollination of plants, pest control, food, and keep everything in balance. It can also reduce the impact of natural disasters! One example is a flood.

Answer:

Option 1

Step-by-step explanation:

I do agree with this statement because without matter, we wouldn't have anything. Matter is weight and anything physical.

Answer:

Matt=26

Brown=11

Step-by-step explanation:

Just trust me!!!

The present age of Matt given the information in the question is 26.

The present age of Brown given the information in the question is 8.

4y - 6 = x equation 1

x + y + 6 = 43 equation 2

Where:

Subsistute for x in equation 2

4y - 6 + y + 3 = 43

Combine similar terms

5y = 40

y = 8

Subsitute for y in equation 1

4(8) - 6 = x

32 - 6 = 26

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

8%

Step-by-step explanation:

27.20/340=0.08

=8%