Answer:
28 hours
Step-by-step explanation:
let the time period at which the temperature be equal in both Brownsville and Mesquite Texas be 'x'.
Given,
In Brownsville Texas, the temperature is expected to drop 1.5° each hour and In Mesquite Texas, the temperature is expected to drop 2° each hour.
Now, according to the question,
after 'x' hours,
⇒ 80° - 1.5°(x) = 94° - 2°(x)
⇒ 0.5°(x) = 14°
⇒ x = 28
Hence, Till 28 more hours the temperature in Mesquite Texas be greater than that in Brownsville.
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Answer:
All real number greater than equal to zero.
Step-by-step explanation:
The function is given by
The domain is defined as the input values so that the function is well defined.
here, the values of x should be all real number and zero also.
So, the correct option is (d).
Answer:
Step-by-step explanation:
<u>Given</u>
- Monthly payment P = $300
- Time t = 3 years = 36 months
- Number of payments n = 36
- Interest rate r = 12% PA = 1% per month = 0.01 times
<u>Use loan payment formula:</u>
- P = r(PV) / (1 - (1 + r)⁻ⁿ),
- where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments
<u>Substitute values and solve for PV:</u>
- 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
- PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
- PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
Answer:
14%
Step-by-step explanation:
1. The formula to find percent change is 
. Now, all we have to do is plug in the values to their corresponding variable.
2. (Solving)
- 14%
