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Sedbober [7]
3 years ago
9

Can someone please help me with this one question

Mathematics
1 answer:
erastova [34]3 years ago
7 0

the problem with this study is the fact that they used precise numbers

hope i helped:)

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
What is the solution set for this inequality?
oksian1 [2.3K]

Answer:

<h2>x > 8</h2>

Step-by-step explanation:

= > -6x + 30 < - 18

= > 30 + 18 < 6x

= > 48 < 6x

= > x > 48/6

= > x > 8...ans

<h2>Hope it Helps you!! </h2>
4 0
3 years ago
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing alon
Eddi Din [679]

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

8 0
3 years ago
What's (2x) ^3 in expanded notation form?
inessss [21]

Answer:

<h2><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em></h2>

Step-by-step explanation:

{(2x)}^{3}

= <em><u>2x × 2x × 2x (In expanded notation form) (Ans)</u></em>

5 0
3 years ago
Read 2 more answers
What is the sum of the sequence 152,138,124, ... if there are 24 terms?
N76 [4]

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

Sn=\frac{(a_1+a_n)n}{2}

Where:

a_1=152\\a_n=a_{24}

You should find  a_{24}

The formula to find it is:

a_n=a_1+(n-1)d

Where d is the difference between two consecutive terms.

d=138-152=-14

Then:

a_{24}=152+(24-1)(14)=-170

Substitute it into the first formula. Therefore, you obtain:

S_{24}=\frac{(152-170)(24)}{2}=-216

3 0
3 years ago
Read 2 more answers
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