Antonia currently has $4,500 in her
savings account. She saves $150 per
month. Cal currently has $3,400 in his
account. He saves $250 per month. How
much more money than Antonia will Cal
have after 12 months?

Answers

Answer 1

Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.


Related Questions

If the measure of ∠1=105°, what is the measure of ∠6?

Answers

Answer:

Step-by-step explanation:

x + 105 = 180

x = 75 for m<6

What is the difference between -120 and 400?

Answers

Answer:

-120 is a negative and 400 is a positive

Step-by-step explanation:

also there is a 520 difference

6 pipes are required to fill a tank in 80 minutes. If we use 5 such types of pipes, how much time it will take to fill the tank?

Answers

Answer:

96 minutes

Step-by-step explanation:

Time taken by 6 pipes to fill a tank = 80 minutes

Time taken by 1 pipe to fill a tank = 80×6 = 480 minutes

Tim taken by 5 pipes to fill a tank = 480/5 = 96 minutes

Answer:

66 min and 7 seconds

Step-by-step explanation: 80 divided by 6 and then multiply the answer by 5

1+2+3+4+5+6+7+8+9+012​

Answers

Using calculator
Answer=57

Answer:

57 is your answer......

Hey guys! Please help me out here lol..

Question: Simplify: sqrt(n^2) is n<0

Answers

Answer:

Step-by-step explanation:

Morgan is making accessories for the soccer team. She uses 542.92 inches of fabric on headbands for 45 players and 4 coaches. She also uses 396.45 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

11.08 inches of fabric were used on a headband for each player
8.81 inches of fabric were used on a wristband for each player

You deposited $1,500 in a savings account that pays 3% interest annually, compounded monthly. After one year, your balance is $1,545.62. What is your rate of return for one year?
3%
1.03%
3.04%
0.03%

Answers

Answer:

100 + 10% = $110, and after two years you will have $110 + 10% = $121.

Step-by-step explanation:

Solve the propotion
q/5 = 4/1

Answers

Answer:20

Step-by-step explanation: If u need help again: https://mathpapa.com/algebra-calculator.html

Answer:

q = 20

Step-by-step explanation:

q 4

5 = 1

4 x 5 = 20

Cuatro meses después que se detuviera la publicidad, una compañia fabricante notifica que sus ventas han cai­do de 100.000 unidades por mes a 80.000. Si las ventas siguen un patron de decrecimiento exponencial, cuantas unidades habra despues de los siguientes dos meses?

Answers

Answer:

51,200 unidades

Step-by-step explanation:

Paso 1

Calculamos el porcentaje de disminución

= 100000 - 80000/100000 × 100

= 20000/100000 × 100

= 20%

Por lo tanto, el porcentaje de disminución cada mes = 20%

Paso 2

La fórmula de la disminución exponencial

y = a (1 - r) ^ t

a = 80.000

r = 20% = 0,2

t = tiempo en meses = 2

y = 80000 (1 - 0,2) ^ 2

y = 51.200 unidades

Usando una función exponencial, se encuentra que habra 71.554 unidades despues de los siguientes dos meses.

Una función exponencial decreciente tiene el siguiente formato:

[tex]A(t) = A(0)(1 - r)^t[/tex]

En que:

A(0) es la cuantia inicial.r es la tasa de desintegración.

En este problema:

Inicialmente, 100000 unidades por mes, o sea, [tex]A(0) = 100000[/tex].Cuatro meses después, 80000 unidades por mes, o sea, cuando [tex]t = 4, A(t) = 80000[/tex], e esto es usado para encontrar r.

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]80000 = 100000(1 - r)^4[/tex]

[tex](1 - r)^4 = 0.8[/tex]

[tex]\sqrt[4]{(1 - r)^4} = \sqrt[4]{0.8}[/tex]

[tex]1 - r = 0.945742[/tex]

Por eso:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 100000(0.945742)^t[/tex]

Apos el siguinte dos meses, hay el mes 6, por eso:

[tex]A(6) = 100000(0.945742)^6 = 71554[/tex]

Habra 71.554 unidades despues de los siguientes dos meses.

A similar problem is given at https://brainly.com/question/14773454

someonepleasehelp me asap
evaluate (8)-2(15-8)​

Answers

Answer:

-6

Step-by-step explanation:

You have to multiple -2 by 15 and -8 separately

8 - 2(15-8)

8 -30 + 16

24-30 = -6

josiah earns 8 dollars per hour for the first 40 hours he works. he earns 12 dollars per hour every hour he works over 40 a week works. Josiah's earnings this week totaled more than 380. which of the following best represents the number of hours over 40, h, josiah worked this week

Answers

Answer:

5

Step-by-step explanation:

40 x 8= 320

380-320=60

60/12=5


What is the total amount of sap the trees produce that day

Answers

Answer:

5 gallons of sap was produced that day

Answer:

5 gallons

Step-by-step explanation:

SOMEONE HELP ME PLEASEEEEEE !

Answers

Answer:

123.6

Step-by-step explanation:

Find the area of the circle, because the four quarter circles add to one circle. The circle has a diameter of 24, so the area of it is 452.4. The square has an area of 24*24, so the area is 576. Subtract the area of the circle from the square, and you get 123.6. Hope this helps!

15 in 10 in 10 in plsssssss help​

Answers

Answer:

The answer is 800

Step-by-step explanation:

Hope this helps :)

If the supplies cost $1.50 per jar and he has a markup of 90% what price dose he sell it for ?

Answers

Answer:

2.85

Step-by-step explanation:

100%->1.50

1%->0.015

190%->2.85

bdhskakaiaggsbsnasnbdbsjsjs simplify c^4/c^3

Answers

Answer:

Cancel the common factor of  c^ 4  and  c ^3 .

The answer is c

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

I dont know but i am a expert

Step-by-step explanation:

i dont know but i am a expert

10
X
5T Q15 Finding side lengths in a compound shape
Calculate the length of x. Give your answer correct to 3 significant figures.
Tools
11
Calculate the value of x. Give your answer to 3 significant
figures
BC = 5 * tan
50
12
5 cm
BC =
to 3 s.f.
13
B
с
x tan 38
38°
Show your working A
X=
cm to 3 s.f.
14
* cm
15
16
Reset
Q1 of 1
Next
Check Answers
Results
M

Answers

Answer/Step-by-step explanation:

✔️Find BC:

Reference angle = 50°

Opposite = BC

Adjacent = 5 cm

Based on trigonometric ratio, thus:

Tan 50 = BC/5

Multiply both sides by 5

BC = 5 × tan 50

BC = 5.96 cm (to 3 s.f)

✔️Find x:

Reference angle = 38°

Opp = x

Adj = BC = 5.96 cm

Based in trigonometric ratio, thus:

Tan 38 = x/5.96

Multiply both sides by 5.96

x = 5.96 × tan 38

X = 4.66 (3 s.f)

y= -2x + 5
what is the y-intercept of the equation —>

Answers

Answer:

5

Step-by-step explanation:

Y=mx+b

b is the y intercept

would say the 5 because the other one had a x meaning it would be the slope

DUE TONIGHT, please help me i'm really confused and please show work.
I will mark Brainly

Answers

Answer:

this is linear equation correct?

Step-by-step explanation:

let me know i might be able to help

Hawaiian volcano has an elevation of 360 feet above sea level the valley below it is 40 feet below sea level how far is it from the peak of volcano to the bottom of The Valley

Answers

Answer:

320 feet is as far from the peak from the volcano and valley.

The football team plays at a stadium with
dimensions of 50 feet X 60 feet of seating
for spectators. Find the total area of the
football stadium’s spectator area?

Answers

Answer:

1,100

Step-by-step explanation:

The total area of the football stadium's spectator area is 3000 square feet.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The total area of the football stadium's spectator area is the product of the length and width of the seating area.

Since the length of the seating area is 50 feet and the width is 60 feet, the total area is:

total area of the football stadium = 50 feet × 60 feet

Apply the multiplication operation, and we get

total area of the football stadium = 3000 square feet

Therefore, the spectator space of the football stadium is 3000 square feet in total.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

PLEASE HELP WILL GIVE BRAINLIEST

Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet.

The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _____ square feet.

Answers

1 square inch to 4 square feet. answer is 1/4
The answer is 4 inches by 5 inches

Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below

Answers

Answer:

2, 3, 4

Step-by-step explanation:

Renee bought 7 potatoes at the supermarket. The shortest diameter of each,  

in centimeters, is shown below.

2, 3, 4, 4, 6, 6, 7

After Renee used one potato to make dinner, the median diameter of the remaining  potatoes was 5 centimeters. Which of these could be the diameter, in centimeters,  of the potato Reneetsed?

Solution:

The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.

The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.

Given that the diameter of the potato as:

2, 3, 4, 4, 6, 6, 7

Given that after removing one potato, the median of the remaining  potatoes was 5 centimeters.

After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.

To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.

If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.

Median = (4 + 6) / 2 = 5

Having emergency supplies ready is an important step in any preparedness plan. In the space below, draw an example of what your emergency supply pack would look like. Make sure to label each item so that others can see your materials.

Answers

Answer:

Emergency supplies are very important and it is very useful at times of need.

Step-by-step explanation:

Emergency supplies are a set of supplies that we may require at times when some situation or problem arises. During any situation which is not normal, these emergency supplies serves the purpose of life to one self.

Thus everybody should be prepared for the worst and should always keep an emergency supplies with them. These emergency supplies should contain all those item that we may require at times of need. It must contain :

-- a safety kit or a first aid kit

-- at least a gallon of water for drinking purposes and for sanitary purposes

-- a multi tool and a knife

-- a torch and batteries

-- emergency phone numbers and medical phone numbers

-- some clothes and weather resistance blankets

-- some copies of important documents

-- easy to cook and on perishable food items

-- two way radios

-- extra cash

-- maps

4 divided by 34 how do you divide that to get a remainder ​

Answers

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 34 on the right side like this:

             

   4 ⟌ 3 4  

Step 2:

The divisor (4) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

       0    

   4 ⟌ 3 4  

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

       0    

   4 ⟌ 3 4  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

       0    

   4 ⟌ 3 4  

     - 0    

       3    

Step 5:

Move down the 2nd digit of the dividend (4) like this:

       0    

   4 ⟌ 3 4  

     - 0    

       3 4  

Step 6:

The divisor (4) goes into the bottom number (34), 8 time(s). Therefore, put 8 on top:

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

Step 7:

Multiply the divisor by the result in the previous step (4 x 8 = 32) and write that answer at the bottom:

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (34 - 32 = 2) and write the answer at the bottom.

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

     - 3 2  

         2  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 34 divided by 4 calculated using Long Division is:

8

2 Remainder

Answer:

4 remainders

Step-by-step explanation:

Here we will show you step-by-step with detailed explanation how to calculate 4 divided by 34 using long division.

Before you continue, note that in the problem 4 divided by 34, the numbers are defined as follows:

4 = dividend

34 = divisor

Step 1:

Start by setting it up with the divisor 34 on the left side and the dividend 4 on the right side like this:

           

 3 4 ⟌ 4    

Step 2:

The divisor (34) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 4 ⟌ 4    

Step 3:

Multiply the divisor by the result in the previous step (34 x 0 = 0) and write that answer below the dividend.

       0    

 3 4 ⟌ 4    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 4 ⟌ 4    

     - 0    

       4    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 4 divided by 34 calculated using Long Division is:

0

4 Remainder

(hope this helps can i plz have brainlist :D hehe)

A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____

Answers

Answer:

$20

Step-by-step explanation:

together they cost $25, do 25-5

Answer:

Sweater-15$

Shirt-10$

Step-by-step explanation:

Sweater x

Shirt       x-5

x+x-5=25

2x=30

x=15 (sweater)

x-5=15-5=10 (shirt)

Jack bought a bike for $550 and then sold for $680 what was his percentage profit

Answers

23.64%. Hope this helps!

Answer:

about 24%

Step-by-step explanation:

he made around 23.64% profit. rounded up would be 24%

Macy's purchases Nike shoes for $35 and marks up the price by 60%. What do they sell the shoes for?​

Answers

Answer:

56$

Step-by-step explanation:

35$ + 60% = 56$

Rita traveled 1 unit left and 3 units up. She ended at the grocery store. The ordered pair describes where she started. Need coordinate grid plz ME IN RUSH PLZ ANSWER

Answers

Answer:

(3,2)

Step-by-step explanation:

Missing Information:

The coordinate of the grocery store is: (2,5).

Required:

Determine the starting point

Assume the starting coordinate is (x, y)

When a point (x, y) is translated b units left, the image of the translation is: x -> x - b

In this case:

b = 1 (i.e. 1 unit left)

So, we have:

[tex](x-1,y)[/tex]

When a point (x, y) is translated h units up, the image of the translation is: y -> y + h

In this case:

h = 3 (i.e. 3 units up)

So, we have:

[tex](x-5,y+3)[/tex]

So, the expression that describes the grocery store is:

[tex](x-1,y+3) = (2,5)[/tex]

By comparison:

[tex]x-1 = 2[/tex]

[tex]y+3=5[/tex]

Solve for x

[tex]x = 2 + 1[/tex]

[tex]x = 3[/tex]

Solve for y

[tex]y = 5 - 3[/tex]

[tex]y = 2[/tex]

Hence, the starting point is: (3,2)

A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?

f = p + 1
p f
1 2
2 3
3 4

f = p + 12
p f
1 112
2 212
3 312

f = p + 112
p f
1 212
2 312
3 412

f = p + 3
p f
1 4
2 5
3 6

Answers

Answer:

 

f = p + 1 1/2

p f

1 212

2 312

3 41

Step-by-step explanation:

A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?

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