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Kay [80]
2 years ago
8

Enter the trigonometric equation you would use to solve for x. Do not solve the equation.

Mathematics
1 answer:
pentagon [3]2 years ago
3 0

Answer:

x=12\times \text{tan}(20^0)

Step-by-step explanation:

From the figure attached,

Measure of an angle = 20°

Measure of the opposite side = x

Measure of the adjacent side = 12

By applying tangent rule in the given right triangle,

tan(20°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\text{tan}(20^0)=\frac{x}{12}

x=12\times \text{tan}(20^0)

Therefore, equation to get the value of 'x' will be,

x=12\times \text{tan}(20^0)

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2 years ago
Round to the nearest million: 21,800,000
Eduardwww [97]
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3 years ago
11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the l
kykrilka [37]

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

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2 years ago
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Answer:yr

Step-by-step explanation:rt5r

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