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hammer [34]
3 years ago
10

You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded dai

ly.
Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

$1,725.39

Step-by-step explanation:

-Take 1 year =365 days.

#We calculate the effective interest rate for 7% compounded daily;

i_m=(1+i/m)^m-1\\\\=(1+0.07/365)^{365}-1\\\\=0.072501

#We now use this rate to calculate the compounded amount after two years:

A=P(1+i_m)^n\\\\=1500(1.072501)^2\\\\=1725.39

Hence, the  balance after 2 years $1,725.39

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A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass
hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle.  The height of the triangle is 150 ft, and the opposite angle is 40°.  The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0
3 years ago
One half of a number increased by 3 is five less than two thirds of the number
MAVERICK [17]

Answer:

12 is thy number lol

Step-by-step explanation:

1/2x + 3 = 5 - 2/3x  

Subtract the 1/2x

You get 3 = 5 - 1/6x

Subtract the five.

-2 = -1/6x

Multiply by -6

x = 12

6 0
3 years ago
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WILL GIVE BRAINLIEST<br> 20 POINTS
jek_recluse [69]

Answer:

6

Step-by-step explanation:

y=\frac{1}{2} x+5\\y=\frac{2}{3}x+4\\\frac{1}{2}x+5=\frac{2}[3}x+4\\multiply by 6\\3x+30=4x+24\\4x-3x=30-24\\x=6

6 0
3 years ago
Find the central angle θ which subtends an arc of length 50 miles of a circle of radius 36 miles
ArbitrLikvidat [17]
(πrθ)/180 = arc length       [r=radius, θ=central angle, π≈3.14]  ⇒
πrθ =  180*arc length
θ = (180*arc length)/πr

θ = (180 * 50)/(3.14 * 36) ≈ 79.6°


3 0
3 years ago
The two cones below are similar. What is the height of the smaller cone?
pentagon [3]

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.^{}ly/3a8Nt8n

6 0
3 years ago
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