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Tresset [83]
3 years ago
11

Yael earns a straight commission as a real estate agent. Last month his total sales were $971,168.00. If Yael earns a 3% rate of

commission, what was his gross income last month?
Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
Yael’s gross income was $29,140
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GUYS PLS CLICK ON THIS QUESTION I NEED HELP RIGHT NOW IN LIKE 2 MINUTES PLEASE I WILL GIVE BRAINLIEST OMG :(
Serga [27]

Answer:

I'm pretty sure "?" equals 12

Step-by-step explanation:

7 0
2 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
What is the amplitude of the cosine function corresponding to the secant function graphed below ? a. -2 b. -1 c. 2 d. 3
Bas_tet [7]

Answer:

2

Step-by-step explanation:

From the graph, we obtain the trigonometric function as:

y=2 \sec x+1

The corresponding cosine function have equation.

y=2\cos x+ 1

This function is of the form: y=a\cos bx+c

where |a| is the amplitude.

Therefore the amplitude is |2|=2

The third choice is correct

7 0
3 years ago
In ΔUVW, the measure of ∠W=90°, the measure of ∠V=71°, and VW = 55 feet. Find the length of UV to the nearest tenth of a foot.
Katarina [22]

Answer:

168.9 feet

Step-by-step explanation:

7 0
2 years ago
A department store sells a pair of shoes with an 87% markup. If the store bought the pair of shoes for $55.25, what is the selli
kolbaska11 [484]
Markup means they sell it for that percentage more than they bought it for. First let's calculate how much they will mark it up for:

\sf 55.25\cdot 87\%

Convert 87% into a decimal(87/100):

\sf 55.25\cdot 0.87

Multiply:

\sf\approx 48

This is how much they'll mark it up, now let's add it to how much they bought it for to find out the selling price:

\sf 48+55.25\approx\boxed{\sf \$ 103}
5 0
2 years ago
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