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Zigmanuir [339]
3 years ago
8

You invested $500 in a savings account and after three years you had $650 in your bank. What was the interest rate? Use the equa

tion I=PRT. Where I stands for interest on the original investment, P stands for the amount of the original investment, R is the interest rate, and T is the time. Write your answer in a percent form.
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

An increase of 43.3% per year

Step-by-step explanation:

using the equation, plug in the respective variables. 650 =500R3, 3 times 500 is 1500. 650=1,500R. divide both sides by 1500 to get .4333, 3 repeating. .433 in percent form is 43.3%. (I just use 650 out of 500 or 650/500 which is 1.3 divided by 3 because 3 years to get the same amount)

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What is the slope of the line ? ( question 1/4 )
yanalaym [24]

\huge \rm༆ Answer ༄

First Consider two points ~ (0 , -3) and (-1 , 0)

Now, use the given formula to calculate slope :

  • \sf \dfrac{y2 - y1}{x2 - x1}

  • \sf \dfrac{0 - ( - 3)}{ - 1 - 0}

  • \sf \dfrac{ 0 + 3 }{ - 1}

  • \sf \dfrac{3}{ - 1}

  • \sf - 3

Therefore, the slope of the graph is -3

꧁  \:  \large \rm{TeeN \: ForeveR } \: ꧂

3 0
2 years ago
If the equation y = 1/3 x + 2 is changed to y = 3x + 2, what will be true about the graph of the equation?
Anna11 [10]
That would be D) The slope of the graph will be changed.
I hope it helps
4 0
3 years ago
Read 2 more answers
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le
Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes  =68

Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}

68= \frac{\text{Sum of all lengths}}{7}

68 \times 7 =\text{a+b+c+d+e+f+g}

476=\text{a+b+c+d+e+f+g} --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

476=x+x+x+84+84+84+4x+14

476=7x+266

\frac{476-266}{7}=x

30=x

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0
3 years ago
What is the measure of ∠R?
AVprozaik [17]
We don't have a pic. We need one
3 0
3 years ago
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