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Travka [436]
2 years ago
13

James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​

Mathematics
1 answer:
otez555 [7]2 years ago
3 0

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

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Hey hey I need some help with percent change
Neporo4naja [7]

Answer:

\boxed{20 \%}

Step-by-step explanation:

% Increase = Increase/Original value × 100 %

Data:

   Latest selling price = $20

-Original selling price = <u>-  16 </u>

                    Increase = $  4

Calculations:

% increase = 4/20 × 100 % = 20 %

The percent increase is \boxed{20 \%}.

4 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12
klemol [59]

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the following :

First term (a) = 3

Second term = - 6

third term = 12

Fourth term = - 24

We can obtain the common ratio of the series using the relation :

(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....

(-6/3) = (12/-6) = (-24/12)

-2 = - 2 = - 2

Further explanation can be found in attached picture

7 0
3 years ago
2 + 3x²y - 1⁄2y + y - 1
Svet_ta [14]

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

4 0
3 years ago
A particular psychological test is used to measure need for achievement. The average test score for all university students in O
Angelina_Jolie [31]

Answer:

Only B and C are always true.

Step-by-step explanation:

To analyse which statements are always true, we go through the process of finding confidence intervals for sample means, from the start.

Confidence Interval = (Sample mean) ± (Margin of error)

From this expression, it is evident that the margin of error determines how wide the confidence interval would be.

Sample Mean = 110 (given)

Margin of Error = (Critical value) × (Standard deviation of the distribution of sample means)

Since no information about the population standard deviation is provided, the critical value is obtained using t-distribution.

The critical value usually varies at different confidence levels and degree of freedoms.

The higher the confidence level, the higher the critical value and the higher the margin of error leading to a wider range.

Hence, a confidence interval of 95% will have a higher critical value than a confidence interval of 90%. Hence, statement C is proved once that 'for n = 100, the 95% confidence interval will be wider than the 90% confidence interval'.

After obtaining the critical value, we then obtain the standard deviation of the distribution of sample means or simply the standard error of the mean. This is given as

σₓ = σ/√n

where σ = standard deviation; which isn't given. The standard deviation might be high enough to guarantee that the Margin of error is high too for the confidence interval to contain 115 or low enough to ensure that the Margin of error is very small and the confidence interval will not contain 115.

Or the sample size might be high enough to make the standard error of the mean to be eventually small and lead to a small margin of error and the condidence interval will not contain 115.

The point is, it isn't always sure that the resulting interval.would contain 115. So, statement A isn't always true.

Then from σₓ = σ/√n,

n = sample size, a large sample size means a more narrow confidence interval and a small sample size means a wider sample size. This proves statement C.

The 95% confidence interval for n = 100 will be more narrow than the 95% confidence interval for n = 50.

Hence, Only B and C are always true.

Hope this Helps!!!

5 0
3 years ago
The area of a circle A is 85π ft2. ∠BAC is a central angle of the circle, and m∠BAC = 36°
BlackZzzverrR [31]
As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle -  85π ft2
then the area for 1°            =  85π ft2/360°
the area of 36° sector         =  85π ft2/360° x 36°
                                           =  8.5π ft2
7 0
3 years ago
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