9514 1404 393
Answer:
(a) $1430
(b) $1340
(c) Debit card
Step-by-step explanation:
(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.
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(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.
Limit - balance = $2350 -1010 = $1340
The most Jenny can spend using her credit card is $1340.
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(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.
1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6
Answer:
99.7%
Step-by-step explanation:
Using the z score formula
z-score is z = (x-μ)/σ
where:
x = raw score
μ = population mean
σ = population standard deviation.
a) for x = raw score = 35
μ = population mean = 44
σ = population standard deviation =3
z = (35 - 44)/3
z = -9/3
z = -3
b) for x = raw score = 53
μ = population mean = 44
σ = population standard deviation =3
z = (53 - 44)/3
z = 9/3
z = 3
We would use the standard normal distribution table to find their probabilities
P(Z<=-3)=0.0013499
P(Z<=+3)=0.99865
So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973
Converting to percentage = 0.9973 × 100 = 99.73%
Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%
Answer:
It has no solution because, 14x cancels out -14x when you move the variables to the left and leaves the equation as 0 = -12, however we know that 0 does not equal -12 which means this solution is false; therefore this equation has no solution since 0 does not equal -12.
Step-by-step explanation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10 (Given)
-2 - 14x = -14x - 14 (Combine like terms)
0 = -12 (Move variables(x) to the left and the constants to the right)
