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Fed [463]
3 years ago
15

Reminder wants to buy a new mp3 player that cost $76.50 if you save $8.50 each week how many weeks will it take a meyer save eno

ugh money to buy the mp3
Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0
$76.50 - $8.50 = 9 weeks

i am a mathematics teacher. if anything to ask please pm me
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You deposit $900 in a savings account. The account earns 4% simple interest per year. What is the balance after 8 years? What is
xeze [42]
$900+ $288( interest after 8 years)= $1, 188( total balance)
8 0
3 years ago
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f
MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

8 0
3 years ago
Find m angle 1 and m angle 3 in the kite.
stepladder [879]

Answer:

m∠1=39°, m∠3=51°

Step-by-step explanation:

Angle 3 = 180-(39+90)

180-129=51

Angle 1 = 39 b/c of the corresponding angles.

6 0
3 years ago
A​ hot-air balloon is 140 ft140 ft above the ground when a motorcycle​ (traveling in a straight line on a horizontal​ road) pass
luda_lava [24]

Answer:

Step-by-step explanation:

Given

Balloon velocity is 14 ft/s upwards  

Distance between balloon and cyclist is 140 ft

Velocity of motor cycle is 88 ft/s

After 10 sec  

motorcyclist traveled a distance of d_c=88\times 10=880 ft

Distance traveled by balloon in 10 s

d_b=14\times 10=140 ft

net height of balloon from ground =140+140=280 ft[/tex]

at t=10 s

distance between cyclist and balloon is z=\sqrt{280^2+880^2}

z=923.47 ft

now suppose at any time t motorcyclist cover a distance of x m and balloon is at a height of h m

thus z^2=(88t)^2+(14t+140)^2

differentiating w.r.t time

\Rightarrow z\frac{\mathrm{d} z}{\mathrm{d} t}=14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )

\Rightarrow at\ t=10 s

\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )}{z}

\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\times 280+88^2\times 10}{923.471}

\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{81,360}{923.471}=88.102\ ft/s

3 0
3 years ago
Ill mark the brainliest if you help me with the these three questions 7,8,9
Nitella [24]

Answer:

7) π  8) 6.25π  9)  16π


8 0
3 years ago
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