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.
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
Answer:
The zoo has 50 African elephants and 50 Asian elephants which means that there are 100 elephants.
Step-by-step explanation:
From the information provided, you can say that the result of adding up the African elephants cost to feed per day for the number of African elephants plus the Asian elephants cost to feed per day for the number of Asian elephants would be equal to £1000, which can be expressed as:
11x+9y=1000, where:
x is the number of African elephants
y is the number of Asian elephants
Now, as the statement indicates that the zoo has an equal number of African elephants and Asian elephants, this means that x=y and you can replace y with x and solve for x:
11x+9x=1000
20x=1000
x=1000/20
x=50
According to this and considering that the zoo has an equal number of African elephants and Asian elephants, the answer is that the zoo has 50 African elephants and 50 Asian elephants which means that there are 100 elephants.
Answer:
Given the information in the attached image;
The number of blue marbles is 5.
The total number of marbles is 10.
So, the probability of drawing blue as the first marble is;
Also, since there is a replacement, the probability of drawing blue as the second marble is;
the probability of drawing two blue marbles will be;
Therefore, the probability of drawing two blue marbles is;