Answer:
The distance between the two given points is 5.
Step-by-step explanation:
As we move from (8,13) to (11,9), the change in x is 3 and that in y is -4.
Note that these distances are at right angles to one another. We apply the Pythagorean Theorem to find the length of the diagonal connecting the two points, whose length is the desired distance:
d = √(3² + [-4]²) = √25, or just 5.
The distance between the two given points is 5.
Answer:
She can 35/100 or 7/20 for 0.35 to add to 1/2.
Step-by-step explanation:
Considering the decimal number
Converting into fraction
There are 2 digits to the right of the decimal point, therefore multiply and and divide by 100
Therefore, she can use for 0.35 to add to 1/2.
Note:
Therefore, she can 35/100 or 7/20 for 0.35 to add to 1/2.
Step-by-step explanation:
what do we need to do ?
just calculate the value of the expression with these values for the variables ?
what's the problem ? this is basic calculating :
-6/2 - 4 + 9×4 = -3 - 4 + 36 = 29
remember (please, for your life !) that multiplication and division always have to be calculated before additions and subtractions (except when brackets force is to go a different route).
-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h
So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.
So -9-8(1+4h) = -17 for h = 0.
You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.
Hope this Helps! :)
Answer:
12.68%
Step-by-step explanation:
To calculate effective annual interest rate we need to use the following formula:
Where, 'i' is the effective annual interest rate
'r' is the annual rate of interest
'm' is the frequency of compounding.
When there is continuous compounding the effective annual rate uses the following formula:
In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:
Plugging r=12%=0.12, we get:
Therefore, the effective annual interest rate is 12.74%.