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2 years ago

Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?

Mathematics

2 answers:

velikii [3]2 years ago

7 0

he will pay $42.60 to the driver :)

Aleonysh [2.5K]2 years ago

6 0

Answer:

the amount he would pay is $42.60

Step-by-step explanation:

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Sheryl creates a scatter plot to analyze how an increase in the outside temperature above 52°F affects the sale of hot chocolate

lora16 [44]

Answer:

1 and 2

Step-by-step explanation:

3 0

2 years ago

Square $ABCD$ has area $200$. Point $E$ lies on side $\overline{BC}$. Points $F$ and $G$ are the midpoints of $\overline{AE}$ an

Charra [1.4K]

1. Consider square ABCD. You know that

$A_{ABCD}=AD^2=200,$

then

$AB=BC=CD=AD=10\sqrt{2}.$

2. Consider traiangle AED. F is mipoint of AE and G is midpoint of DE, then FG is midline of triangle AED. This means that

$FG=\dfrac{AD}{2}=\dfrac{10\sqrt{2} }{2}=5\sqrt{2}.$

3. Consider trapezoid BFGC. Its area is

$A_{BFGC}=\dfrac{FG+BC}{2}\cdot h,$ where h is the height of trapezoid and is equal to half of AB. Thus,

$A_{BFGC}=\dfrac{FG+BC}{2}\cdot \dfrac{AB}{2}=\dfrac{5\sqrt{2}+10\sqrt{2}}{2}\cdot \dfrac{10\sqrt{2}}{2}=75.$

$A_{BFGC}=A_{BFGE}+A_{EGC},\\A_{EGC}=A_{BFGC}-A_{BFGE}=75-34=41.$

5. Note that angles EGC and CGD are supplementary and

$\sin \angle CGD=\sin \angle EGC.$

Then

$A_{CGD}=\dfrac{1}{2}CG\cdot CD\cdot \sin \angle CGD=\dfrac{1}{2}CG\cdot EG\cdot \sin \angle CGE=A_{ACG}=41.$

Answer: $A_{CGD}=41.$

8 0

2 years ago

this squared based pyramid is cut horizontally at a height of 15cm to leave this frustum base area=10cm

scoundrel [369]

Answer:

583.33 cm³

Step-by-step explanation:

From the image attached, the total height (H) of the pyramid is 30 cm, the height of the frustrum (h) = 15 cm, the Frustrum base = lower base = B = 10 cm . To find the length of the upper base (b), we use:

$\frac{b}{H-h}=\frac{B}{H}\\ b=(H-h)\frac{B}{H}\\b=(30-15)\frac{10}{30}=5\\b=5\ cm$

The volume of the frustrum is given by:

$V=\frac{1}{3}h(B_1+B_2+\sqrt{B_1B_2} )\\ Where\ B_1\ is \ the\ area \ of\ the\ upper\ base= 5cm*5cm=25cm^2\\B_1\ is \ the\ area \ of\ the\ lower\ base= 10cm*10cm=100cm^2\\V=\frac{1}{3}(10)(25+100+\sqrt{25*100} )=583.33\\V=583.33\ cm^3$

6 0

2 years ago

Mrs. Smythe is twice as old as her daughter Samantha. Ten years ago the sum of their ages was 46 years. How old is Mrs. Smythe?

Fynjy0 [20]

Mrs. Smythe = x
Daughter = y

x = 2y
(x - 10) + (y - 10) = 46
x - 10 + y - 10 = 46
x + y - 20 = 46
x + y = 66
Put 2y in for x
2y + y = 66
3y = 66
y = 66/3
y = 22

The daughter is 22
The mother = 44

7 0

2 years ago

Jerry goes to the bank and borrows $9,000 for farm equipment. The simple yearly interest is 9.5% and he pays off the loan over a

creativ13 [48]

To solve this problem you must appply the formula for simple interest, which is:

I = RxPxN

I: Simple Interest.
R:Rate (9.5$/100=0.095/12).
P: The principal (P=$9000).
N:number of periods (N=24).

When you substitute these values into the formula, you obtain:

I=RxPxN
I=(0.095/12)x9000x24
I=$1710

Therefore, the monthly payment is:

$1710/24=$71.25

What is Jerry's monthly payment?

The answer is: Jerry's monthly payment is $71.25

4 0

2 years ago