Answer:
3.876943x10^9
7.317x10^-4
Step-by-step explanation:
3,876,943,000
Put the decimal at the end
3,876,943,000.
Move it so only 1 number is before the decimal
3.876943000
We moved it 9 places, so that is the exponent
We moved it to the left, so the exponent is positive
The three zeros at the end can be dropped because they are the last numbers to the right of the decimal
3.876943x10^9
0.0007317
Move it so only 1 number is before the decimal
00007.317
We moved it 4 places, so that is the exponent
We moved it to the right, so the exponent is negative
The four zeros at the left can be dropped because they are the last numbers to the left of the whole number
7.317x10^-4
As the normal distribution is symmetric the mean is (36 +
42) / 2 = 39
p(X < 42) = 1 - 0.063 = 0.937
From tables Φ (1.53) = 0.9370
From this time:
42 is 1.53 standard deviations above the mean
42 = 39 + 1.53s
1.53s = 3
Standard deviation is = 1.96
Answer: $ 4,515
Step-by-step explanation:
The cost of the car she wanted to buy = $35,550
Her savings = $20,700
That means she needs( $35,550 - $20,700) more in order for her to buy the car.
Amount borrowed from the finance company = $35,550 - $20,700
= $ 14,850
Since she now owes the financial company a total of $19,365, then the interest accrued by the loan she borrowed is given by:
$19,365 - $ 14,850
= $4,515
so the syrup is just water and sugar, we know that the sugar percent is just 12%, and that happens to be 5grams.
now 100% - 12% is 88%, so the 88% leftover will just be water.
if 12% is 5g, how much is 88%?
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
