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Stolb23 [73]
3 years ago
10

Help, I need it fast! D:

Mathematics
1 answer:
patriot [66]3 years ago
5 0
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first establish the simple interest formula which we will require to solve this problem as displayed below:

Simple Interest = Principal × Rate of Interest × No. of Time Periods

I = PRN

Now let's substitute the values from the problem into this formula as displayed below:

I = $90

P = ?

R = 6%

N = 3 years

I = PRN

90 = P × 0.06 × 3

P = 90 / 0.06 × 3

P = 90 / 0.18

P = $500

ANSWER:

As the principal and the amount borrowed is the same, Claire borrowed $500. Therefore, the answer is:

D ) $500

Please mark as brainliest if you found this helpful! :)
Thank you <3
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Paul [167]
The whiteboards she bought cost $35, and she spent a total of $51.20, subtract to find out the total amount she spent on posters:

\sf 51.20-35=16.2

So she spent a total of $16.20 on posters, now divide by the amount one poster costs to find out how many posters she bought.

\sf 16.2\div 5.4=\boxed{\sf 3}

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4 0
3 years ago
Read 2 more answers
Factor the expression completely.<br> 40x+5<br> 40x+5
ipn [44]

Answer:

5(8 + x)

Step-by-step explanation:

40x+5

= (8)(5)x+5   (factor 5 from the expression)

= 5(8 + x)

7 0
3 years ago
Which of the following is the quotient of the rational expressions shown below?
soldier1979 [14.2K]
We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.

\frac{ \frac{4x+1}{6x} }{ \frac{x}{3x-1} }  \\  \\ &#10;= \frac{4x+1}{6x} * \frac{3x-1}{x}  \\  \\ &#10;= \frac{(4x+1)(3x-1)}{6 x^{2} }

There are no common factors, so the expression can be simplified any further. 
7 0
4 years ago
In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
AlekseyPX

Answer:

The 105th term of given sequence is \frac{105}{2}.

Step-by-step explanation:

The given sequence is

\frac{1}{2},1,\frac{3}{2},2

It can be rewritten as

0.5,1,1.5,2

Here the first term is 0.5.

It is an arithmetic​ sequence because it has common difference.

d=a_2-a_1=1-0.5=0.5

d=a_3-a_2=1.5-1=0.5

d=a_4-a_3=2-1.5=0.5

The nth term of an AP is

a_n=a_1+(n-1)d

where, a_1 is first term and d is common difference.

Substitute a_1=0.5 and d=0.5 in the above formula.

a_n=0.5+(n-1)0.5

a_n=0.5+0.5n-0.5

a_n=0.5n

We need to find the 105th term of given sequence.

Substitute n=105 in the above equation.

a_n=0.5(105)

a_n=52.5

a_n=\frac{105}{2}

Therefore the 105th term of given sequence is \frac{105}{2}.

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