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andreyandreev [35.5K]
3 years ago
10

If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in

your account at the end of two years?
Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

$339.00

Step-by-step explanation:

If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?

We solve the above question using the Equation:

A = P(1 + rt)

P = Principal = Amount deposited each month = $25

The amount deposited in a year = $25 × 12 months = 300

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 300(1 + (0.065 × 2)) = 339

A = $339.00

Therefore, you would have $339 in your account after 2 years

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You receive 15% of a profit from a car wash how many money do you receive from a profit $600?
PilotLPTM [1.2K]

EXPLANATION

If receive 15% of a profit, and considering a total profit of $600, the amount is given by the expression:

Profit = 15% of 600

We must turn 15% into a decimal form by dividing it by 100 as follows:

15/100 = 0.15

So, the computed value is:

Profit = 0.15 x 600 = $90

The answer is $90.

3 0
1 year ago
You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla
Norma-Jean [14]

Answer:

150 quartz of creamy vanilla and 50 quartz of Continental Mocha.

Step-by-step explanation:

Let x represents the number of quartz of Creamy vanilla and y represents the number of Continental Mocha,

∵ There is a profit of $ 3 on each quart of Creamy Vanilla and $2 on each quart of Continental Mocha.

So, the total profit,

Z = 3x + 2y

Which is the objective function for this problem that has to maximise,

Each quart of Creamy Vanilla go 2 eggs and 3 cups of cream,

So, in creamy vanilla,

Number of eggs = 2x

Cups of cream = 3x

Also, Each quart of Continental Mocha go 1 egg and 3 cups of cream,

So, in creamy vanilla,

Number of eggs = y

Cups of cream = 3y

Thus, total number of eggs = 2x + y

And, total number of cups of cream = 3x + 3y

According to the question,

2x + y ≤ 350

3x + 3y ≤ 600

Which are subject of constraint,

Graphing :

Related equation of 2x + y ≤ 350 is 2x + y = 350,

Having x-intercept = (175,0) y-intercept = (0, 350)

Also, 2(0) + 0 ≤ 350 ( True )

∴ Shaded region of 2x + y ≤ 350 would contain the origin,

Related equation of 3x + 3y ≤ 600 is 3x + 3y = 600,

Having x-intercept = (200,0) y-intercept = (0, 200)

Also, 3(0) + 3(0) ≤ 600 ( True )

∴ Shaded region of 3x + 3y ≤ 600 would contain the origin,

'≤' shows solid line,

By graphing them we obtain a feasible region,

In which boundary points are (0, 200), (150, 50) and (175,0)

At (0, 200),

Z = 3(0) + 2(200) = $ 400,

At ( 150, 50)

Z = 3(150) + 2(50) = 450 + 100 = $ 550

At ( 175, 0)

Z = 3(175) + 2(0) = $ 525

Hence, 150 quartz of creamy vanilla and 50 quartz of Continental Mocha should make to earn the largest profit.

4 0
3 years ago
Fill the empty boxes to complete the patterns
Darya [45]
Which empty boxes? have you attached any pic?
5 0
4 years ago
Math question Informatin in dot plots
kozerog [31]

Answer:

Step-by-step explanation:

Range =  difference between the highest and the lowest

Mode = Data that occurs the most time

Median = Arrange  the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle  terms.

1) Range = 28 -21 = 7

Mode = 25

Number of data (Count the total dots) = 14

Median = average of  7th and 8th term

Median = (25+25)/2 = 50/2 = 25

2) Range = 0.18 - 0.11 = 0.07

Mode = 0.15 and 0.16

Number of data = 23

Median =12th term = 0.15

8 0
3 years ago
N = 20
lesantik [10]

Answer:

A. 30.144

Step-by-step explanation:

This is a Chi-Squared test

Given:

  • n=20
  • s=18
  • \textsf{H}_0:\sigma^2=384
  • \textsf{H}_1:\sigma^2 > 384
  • The significance level is 5%, so \alpha= 0.05

To use the Chi-Square distribution table, you need to know two values:

  • Degrees of freedom = (n - 1)
  • Significance level

Degrees of Freedom = n - 1 = 20 - 1 = 19

The significance level is 5%, so \alpha= 0.05

This is a one-tailed test since \textsf{H}_1:\sigma^2 > 384 so Upper tail area = 0.05

Reading from the table (attached), the critical value is:  30.144

(This means that we reject \textsf{H}_0 if the test statistic is greater than 30.144)

7 0
2 years ago
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