If the interest rate is compounded daily, we have the effective interest rate calculated as:
r = (1 + 0.1022/30)^30 -1
r = 0.1074 or 10.74%

Therefore, the effective interest rate if the compounded daily rather than monthly is 10.74-10.22 = 0.52 points higher.

8 0

2 years ago

A group of vendors in a city determines that the equation yˆ=11.984x+15.341 models the total number of shorts they will sell eac

Virty [35]

Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.

The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.

The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.

Thus, given the equation: y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.

The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.

Therefore, the slope of the equation represents in context of the situation that 'The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)

3 0

2 years ago

Read 2 more answers

PLEASE HELP TO SOLVE QUESTION with full process c) Mr. Thapa bought a motorbike for Rs 1,25,000 and fixed its price 20 % above t

klasskru [66]

Answer: Rs. 1,52,550

Step-by-step explanation:

CP of motorcycle = 125000

Selling Price fixed = 125000 + 20% = 150000

10% discount = 150000*10% = 15000

SP after 10% discount

= 150000-15000= 135000

VAT at 13% = 135000 * .13 = 17550

Mr Gurung paid total

135000 + 17550 = 152550

8 0

2 years ago

Read 2 more answers

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random

Harlamova29_29 [7]

Answer with explanation:

Given : Sample mean = $\overline{x}=\text{48.47 pounds}$

Standard deviation : $\sigma=\text{ 3.1 pounds.}$

Sample size : n = 36

Claim : $\mu\neq50$

∴ $H_0:\mu=50$

$H_1:\mu\neq50$

Since the alternative hypothesis is two tail , then the test is two tail test.

By using a z statistic and a 0.05 level of significance. Reject $H_0$ if z < -1.960 or is z> 1.960.

Then , the test static for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z=\dfrac{48.47-50}{\dfrac{3.1}{\sqrt{36}}}\approx-2.96$

We reject $H_0$ since $-2.96\leq -1.96$ . We have statistically significant evidence at $\alpha=0.05$ to show that the mean amount of garbage per bin is not different from 50.

5 0

2 years ago