The x intercept is the 8 and the y is the -4
Answer:
D. 1
Step-by-step explanation:
The total of the listed costs is ...
$545 +1975 +675 = $3195
The difference between this amount and the amount of Jose's check is presumed to be for the purchase of points. That difference is ...
$4645 -3195 = $1450
As a percentage of the purchase price, that is ...
$1450/$145,000 × 100% = 1%
A "point" is 1% of the loan amount, so the $1450 excess over the listed costs appears to be for the purchase of 1 point.
Answer:
9 nickels
Step-by-step explanation:
Changing a quarter to a nickel decreases the value of the sum by $0.20.
When all quarters are changed to nickels and vice versa, the total value will change by the number of excess quarters. That number is ...
($5.95 -3.35)/(0.20) = 2.60/0.20 = 13
The remaining change is made up of equal numbers of nickels and quarters. That amount of change is ...
$5.95 -13·0.25 = 2.70
A quarter and nickel together total $0.30, so there must be $2.70/$0.30 = 9 such pairs of coins.
There are 9 nickels and 22 quarters.
_____
If you don't want to reason through the problem, you can write equations. Let n and q represent the numbers of nickels and quarters, respectively. Then you have ...
0.05n + 0.25q = 5.95
0.25n + 0.05q = 3.35
Multiplying the second equation by 5 and subtracting the first gives ...
5(0.25n +0.05q) -(0.05n +0.25q) = 5(3.35) -(5.95)
1.20n = 10.80
10.80/1.20 = n = 9
The number of nickels is 9.
Answer:
It will take them 15 minutes.
Step-by-step explanation:
1. Since you are given the information that the two typists are typing a certain amount of words in the same time frame (ie. one minute), you can add the two values together to obtain the total number of words the typists would type together in one minute:
95 + 98 = 193 words
2. To calculate how many minutes it would take them to type 2,895 words, you would simply take this total number of words and divide it by the number of words they collectively type in one minute (found in 1.). Thus:
2895/193 = 15
Therefor, it will take them 15 minutes to type 2,895 words.
