Answer:
$54.6
Step-by-step explanation:
Amount borrowed = $560
Interest paid in the 12-month period = 6.5% of 560 =$36.4
The amount of interest Trudy pays in 18 months is worked out as
Monthly interest = $36.4/12
Interest payable in 18 months
= ($36.4/12) x 18
= $54.6
Answer:
A sample size of at least 1,353,733 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?
We need a sample size of at least n.
n is found when M = 0.001.
Since we don't have an estimate for the proportion, we use the worst case scenario, that is 
So
Rounding up
A sample size of at least 1,353,733 is required.
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
Answer:
Step-by-step explanation:
(i) x+2y=4
(ii) x=4-2y
(iii) 2x-2y=5
substituting (ii) in (iii)
2x-2y=5
2(4-2y)-2y=5
8-4y-2y=5
-6y=5-8
-6y=-3
(iv) y=
substituting (iv) in (ii)
x=4-2y
x=4-2×
x=4-1
x=3
∴ B.(3,)
HOPE IT HELPS YOU!!!!
3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)
(1) - (2) => 2f = 4 => f = 4/2 = 2
From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12
Therefore, f = 2 and g = 12
