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madam [21]
3 years ago
7

7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

7.He borrowed $1853.33

8.She received $28990.936

Step-by-step explanation:

7.Let x be the amount borrowed by Tyson

Rate of interest = 7.5%

Time = 2.5 years

Simple Interest = 347.50

Formula : Si = \frac{P \times T \times R}{100}

Where SI = simple interest

P = Principal

T = Time

R = Rate of interest

Substitute the values in the formula :

347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x

Hence he borrowed $1853.33

8) Principal = 20000

Rate of interest = 9.5%

No. of compounds per year = 2

Time = 4 years

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

Where A= amount

r = Rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

So, A=20000(1+\frac{9.5}{200})^{2(4)}

A=28990.936

Hence she received $28990.936

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0
2 years ago
Help!!! this is due tomorrow!!!!!
SpyIntel [72]
It’s b
I think…………………………………………..
8 0
3 years ago
What is the slope of the points (-3,-2) and (-1, 2)
vfiekz [6]
The slope is 4/2, simplify to 2/1 or 2.
3 0
3 years ago
Read 2 more answers
Helppppp..... evaluate 3^-3=
elixir [45]

ANSWER

The answer is

B

\frac{1}{27}

EXPLANATION

The given expression is

{3}^{ - 3}

Use the negative index property;

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this property to get:

{3}^{ - 3}  =  \frac{1}{ {3}^{3} }

This gives us:

{3}^{ - 3}  =  \frac{1}{3 \times 3 \times 3 }

{3}^{ - 3}  =  \frac{1}{27}

The correct option is B.

6 0
3 years ago
Read 2 more answers
Easy math have fun!!!
yulyashka [42]

Answer:

A = 12

Step-by-step explanation:

First you need to get the length from the perimeter, the formula is l= p/2 - w

After using the formula, you would get 6 for length. The formula for the area of a rectangle is a = lw, so you would multiply 6 and 2 which would give you 12 as your answer.

I apologize if I made any grammar mistakes or if it is unclear.

7 0
3 years ago
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