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My name is Ann [436]
3 years ago
15

osiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equati

on represents the amount of money in Josiah’s account, y, after x years? y = 360(1.3)x y = 360(0.3)x y = 360(0.03)x y = 360(1.03)x
Mathematics
1 answer:
sammy [17]3 years ago
4 0

The standard compound interest formula is

Future value after x years with an annual interest of i

=Present Value (1+i)^x [which is an exponential function]

for given present value of $360. interest=0.03 (3%) and a total of x years, above equation reduces to

Future value after x years

=360(1.03^x)


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Simplify the expression 9t^2+14-17t+6t-8t^2
slamgirl [31]

Answer:

t^2 - 11t + 14

Step-by-step explanation:

Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.

First we have 9t^2 - 8t^2, or 1t^2.

Next, we have -17t + 6t, or -11t.

Last, we have the constant term 14.

The expression in simplified form is t^2 - 11t + 14.

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3 years ago
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

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Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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