Using trigonometry. Tan, cos, sin etc. idk how to do thisss help

Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds

MissTica

Step 1

Given;

$\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}$

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

$A=P(1+rt)$

Step 3

Find the interest when the rate is 8%

$\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}$

Therefore the interest is given as;

$A-P=382397.26-375000=\text{\$}7397.26$

Step 4

Find the interest in 1980 with a 20% rate

$\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}$

The interest is given as;

$A-p=393493.15-375000=\text{\$}18493.15\text{ }$

Step 5

Find the difference in interest between the two rates.

$\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89$

Hence, the difference in interest between the two rates = $11095.89

4 0

1 year ago

PLEASE HELP ASAP ITS GEOMETRY

omeli [17]

Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Line L and line M intersect each other.

Angle 1 and angle 2 are supplementary angles.

∠1 + ∠2 = 180° ...1

Angle 2 and angle 3 are supplementary angles.

∠2 + ∠3 = 180° ...2

From equations 1 and 2, then we have

∠1 + ∠2 = ∠2 + ∠3

∠1 = ∠3

The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

5 0

1 year ago

How to do: -8(1-a)=-7-(1-3a)

Fiesta28 [93]

In this question, you're solving for a.

Solve for a:

-8(1 - a) =-7 -(1 - 3a)

use the distributive property

-8 + 8a = -7 -(1 - 3a)

-8 + 8a = -7 - 1 + 3a

combine like terms

-8 + 8a = -8 + 3a

subtract 3a from both sides

-8 + 5a = -8

add 8 to both sides

5a = 0

divide both sides by 5

a = 0

7 0

2 years ago

What is the value of i^3?

Pavel [41]

Answer:

the answer is -i

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 75, \sigma = 12.5$