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GrogVix [38]
2 years ago
9

Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it t

ake for the account to reach $8500? Round your answer to the nearest hundredth.
Mathematics
1 answer:
joja [24]2 years ago
6 0
Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years
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Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a
Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *πr^{2}

The area of the sector DBC = (54/360)*3.14*8^{2}

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

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Area of segment CFD = 4.27in^2

8 0
2 years ago
A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below. What is the v
LiRa [457]
Refer to the figure shown below.

Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50

This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.

The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2

The equation of the parabola is
y = - 2x² + 50

At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
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   = - 18 + 50
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Answer: 32 m

3 0
2 years ago
A survey of the men in a certain town showed that 40% of the men have blond hair and 18 % of them have blond hair and blue eyes.
bezimeni [28]

Answer:

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Step-by-step explanation:

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It's actually C. 6/336
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4vir4ik [10]
1:4
when sugar=34
times 34 both sides
34*4=136
1:4=34:136
should use 136 cups of water
that is alot of water
that's a big feeder (8.5 gallons. the water alone weighs about 74.8lb)

should use 136 cups (wow)
5 0
2 years ago
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