<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
Answer:
Step-by-step explanation:
The Pairs in Pears game involves making pairs of intersecting words that consist of tiles of all the same pattern. One word is up/down and the other is left/right, and they share a vowel or consonant. Whoever makes a certain number of word pairs first, wins.
So, you go to the y axis and find 40 meters on the graph. Then, you go across to find out that x (time in seconds) is 20 seconds. So, in 20 seconds Tom walks 40 meters.
Answer:
5000 ;
11125
Step-by-step explanation:
Given :
Total principal = 16125
Rates = 8.5% and 4%
Period, t = 2 years
Total interest = 1740
Let :
Principal amount invested at 8.5% = x
Principal amount invested at 4% = 16125 - x
Interest formula :
Interest = principal * rate * time
Hence, mathematically ;
(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740
(0.17x + 1290 - 0.08x ) = 1740
0.09x + 1290 = 1740
0.09x = 1740 - 1290
0.09x = 450
x = 450 / 0.09
x = 5000
Amount invested at 4% :
16125 - 5000 = 11125
Answer:
0.620
Step-by-step explanation:
We know that 1 feet = 12 inches, so, 5 feet is equivalent to 60 inches. Then, we are looking for the probability that a typical female from this population is between 60 inches and 67 inches. We know that
= 65.7 inches and
= 3.2 inches
and the normal density function for this mean and standard deviation is
![\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%20%7D%203.2%7Dexp%5B-%5Cfrac%7B%28x-65.7%29%5E%7B2%7D%7D%7B2%283.2%29%5E%7B2%7D%7D%20%5D%20)
The probability we are looking for is given by
![\int\limits^{67}_{60} {\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ] } \, dx =0.620](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B67%7D_%7B60%7D%20%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%20%7D%203.2%7Dexp%5B-%5Cfrac%7B%28x-65.7%29%5E%7B2%7D%7D%7B2%283.2%29%5E%7B2%7D%7D%20%5D%20%7D%20%5C%2C%20dx%20%3D0.620)
You can use a computer to calculate this integral. You can use the following instruction in the R statistical programming language
pnorm(67, 65.7, 3.2)-pnorm(60, 65.7, 3.2)
