The simple interest earned by an account varies jointly as the time and the principal. In 2 years, a principal of $5000 earns $650 interest. How much would $1000 earn in 1 year?
Answers
Final answer:
To find the simple interest $1000 would earn in 1 year, we first calculate the interest rate from the provided example, which is 6.5%. Using this rate, the simple interest formula (Principal x Rate x Time) gives us an interest of $65.
Explanation:
The subject of this question regards the calculation of simple interest, a fundamental concept in Mathematics and Finance. First, we'll need to determine the interest rate used in the initial scenario where a $5000 deposit earns $650 interest in 2 years. In this case, using the simple interest formula which is Principal x Rate x Time(PRT), we have:
$650 = $5000 x Rate x 2 years
Solving for Rate, we get: Rate = $650 / ($5000 * 2) = 0.065, or 6.5%.
Now that we know the interest rate is 6.5%, we can calculate the interest $1000 would earn in 1 year. Again using the simple interest formula, we have: Interest = Principal x Rate x Time = $1000 * 6.5% * 1 year = $65.
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The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?A)Price of a shirt is $9, and price of a cap is $2. B) Price of a shirt is $10, and price of a cap is $1. C) Price of a shirt is $8, and price of a cap is $3. D) Price of a shirt is $7, and price of a cap is $4.
What when multiplied is 5 but when added is -11
Answers
Answers
Answer:
Step-by-step explanation:
According to distributive property under multiplication over addition
We can write a.(b+c)=a.b+a.c
Since, The given expression, (-4h+2)(3h+7)
By applying distribution in first bracket.
we can write, (-4h+2)(3h+7)= -4h(3h+7)+2(3h+7)
Again on applying distribution property,
we get, (-4h+2)(3h+7)= -4h×3h+(-4h)×7+2×3h+2×7
⇒ =
(-2(2h) - 2(-1))(3h + 7)
(-4h + 2)(3h + 7)
-4h(3h + 7) + 2(3h + 7)
-4h(3h) - 4h(7) + 2(3h) + 2(7)
-12h² - 28h + 6h + 14
-12h² - 22h + 14
How many girls are at the party?
Choose all answers that are correct.
A.
Multiply 21 × 2. Divide the product by 3.
B.
Add 21 + 2. Divide the sum by 3.
C.
Divide 21 ÷ 3. Subtract the quotient from 21.
D.
Divide 21 ÷ 3. Multiply the quotient by 2.
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total of 21 children
2 times as many girls as boys at the party.
Let x be the number of boys.
boy + girls = 21
x + 2x = 21
3x = 21
x = 21/3
x = 7 number of boys
2x = 2(7) = 14 number of girls.
C. Divide 21 ÷ 3. Subtract the quotient from 21.
D. Divide 21 ÷ 3. Multiply the quotient by 2.
4 6/7 + 3 5/7=____
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6/7 + 5/7 = 1 4/7
Then add the whole numbers
4 + 3 = 7
Then add the mixed number to the whole number
7 + 1 4/7 = 8 4/7
Your answer is 8 4/7
Answer:
8 4/7
Step-by-step explanation:
Answers
Great question!
Looks like your camera was pointing toward question 6, so I'll answer that one.
First of all, we can substitute the x for the 2, since that value is given.
So, our equation would look something like this -
According to PEMDAS, we'll multiply the 2 by the 2. :P
2 × 2 = 4
Next, we're supposed to subtract the 14 from 4.
14 - 4 = 10
Finally, we can divide 10 by 5, which leaves us with 2, aka answer choice C. :)
Hope this helps! :D
14 - 2x divide 5
2 is x, so 2*2=4
14 - 4 divide 5=
10 divide 5=
Answer: 2 , 3rd answer on the screenshot / C
January February March April May June
Acutal 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
Answers
The equation that produced these predicted values is not a good fit given that the sum of the residuals is a large number.
What is the sum of the residuals in a regression equation?
The sum of the residuals in a regression is a value that is always supposed to be almost equal to zero in a regression analysis.
The residual tells us that the error term has been reduced to the minimum in the regression analysis.
Read more on a regression analysis here:
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