$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earned at the end of one year? Show all work for full credit.
Luis bought stock at $66.80. The next day, the price increased $13.85. This new price changed by −2 3 /4 % the following day. What was the final stock price, rounded to the nearest cent? ?
Can someone explain this to me???
Juan had $5.25 in nickels and quarters. if he had 15 more nickels than quarters, how many quarters did he have?
Juan had 15 quarters. To solve this, we created a system of equations representing the total value of the coins and the relationship between the number of nickels and quarters. Calculations led to the conclusion that there were 15 quarters in total.
The question requires us to solve a system of equations to find out how many quarters Juan had if he had $5.25 in nickels and quarters, with 15 more nickels than quarters. Let's denote the number of quarters as q and the number of nickels as n. Remember, a quarter is worth $0.25 and a nickel is worth $0.05.
Based on the given information, we can establish the following equations:
0.25q + 0.05n = $5.25 (the total value equation)n = q + 15 (the number of coins equation)We can substitute the second equation into the first to find the value of q.
0.25q + 0.05(q + 15) = $5.25
Solving for q:
0.25q + 0.05q + 0.75 = $5.25
0.30q + 0.75 = $5.25
0.30q = $4.50
q = $4.50 / 0.30
q = 15
Therefore, Juan had 15 quarters.
What is cos (x)?
A) 48/58
B) 58/48
C) 26/58
D) 58/26
Explain how you find a unit rate when given a rate.
Identify the radius of the circle whose equation is (x - 2)2 + (y - 8)2 = 16.
Suppose you have an unfair coin that comes up heads 60% of the time and tails 40% of the time. you play a game where you flip the coin a single time and you lose $2 if you get heads and you win $3 if you get tails. what is the expected value of your outcome?
Find the volume of the cylinder. Use 3.14 for pie
How could the relationship of the data be classified? scatter plot with points scattered going up to the right
A fairly strong positive correlation
A fairly strong negative correlation
A fairly weak negative correlation
Answer:
The correct answer is A. A fairly strong positive correlation
Step-by-step explanation:
Scatter Plot : A graph of plotted points that show the relationship between two sets of data.
Now, the points of the scatter plot are going up this shows the increase in the data points so we can say the correlation is positive.
Now, the direction of the scatter plots is to the right. So, we can say that the correlation is strong correlation.
Hence, the correct answer is A. A fairly strong positive correlation
Answer:
the Correct Option is A : fairly strong positive correlation
Step-by-step explanation:
Scatter Plot is a graph that is graphed using points and which shows the relationship between two sets of data. Only used to show correlation.
As given the points of the scatter plot are going up this implies the increment in one set of data with respect to other so we can say here correlation is positive. And the direction of the scattered points is to the right. So, it reflects that the correlation is strong correlation.
Thus, the Correct Option is A : fairly strong positive correlation
Given f(x)=x-7 and g(x)=x2 find g(f(-1))
Solve using the quadratic formula
Answer:
x = - 16, x = 9
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
Ignore the "A" ^
v² + 7v - 144 = 0
a = 1, b = 7, c = - 144
[tex]x=\frac{-7±\sqrt{7^{2} -4(1)(-144)} }{2(1)}[/tex]
[tex]x=\frac{-7±\sqrt{49 +576} }{2}[/tex]
[tex]x=\frac{-7±\sqrt{625} }{2}[/tex]
[tex]x=\frac{-7+25}{2}[/tex] and [tex]x=\frac{-7-25}{2}[/tex]
[tex]x=\frac{18}{2}[/tex] and [tex]x=\frac{-32}{2}[/tex]
x = 9 and x = - 16
The cost of fertilizing a lawn is $0.25 per square foot. find the cost to fertilize the triangular lawn whose base is left parenthesis 14 plus startroot 17 endroot right parenthesis feet and altitude is startroot 68 endroot feet.
N english instructor asserted that students' test grades are directly proportional to the amount of time spent studying. lisa studies 6 hr for a particular test and gets a score of 79. at this rate, how many hours would she have had to study to get a score of 92?
PLEASE HELP!! All I need to finish off my year! WILL BRAINLIEST AND VOTE!
1. How would you prove that circles are similar?
3.Find the center and the radius for the circle, given the equation:
x^2-14x+y^2+8y=16
Group terms that contain the same variable
(x²-14x)+(y²+8y)=16
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
(x²-14x+49)+(y²+8y+16)=16+49+16
Rewrite as perfect squares
(x-7)²+(y+4)²=81
(x-7)²+(y+4)²=9²
a) the center is the point (7,-4)
b) the radius is 9
0.032 divided 4 = ___
Write an equation for the line that passes through (0, -9) and (3, 0).
A. y = 3x + 9
B. y = -9x + 3
C. y = 3x + 3
D. y = 3x - 9
Mike saw 4 times and Many birds as Gigi. Mike saw 28 birds. Which equation can be used to find how many birds Gigi saw? a. 4x28=n b. 28-4=n c. 4+28=n d. 28+4=n
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the standard deviation, to the nearest tenth, of the data if the scores represent a sample of Mr. Smith's students? a0 What is the standard deviation, to the nearest tenth, of the data if the scores represent the entire population of Mr. Smith's students? a1
Answer: The standard deviation of the sample will be 11.6.
The standard deviation of the population will be 12.31.
Step-by-step explanation:
Mr Smith's math class scores : 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Number of terms,N = 10
[tex]Mean=\mu =\frac{\text{sum of all the terms}}{\text{total number of terms}}[/tex]
[tex]\mu =\frac{61+67+81+83+87+88+89+90+98+100}{10}=\frac{844}{10}=84.4[/tex]
Standard deviation of the sample:
[tex]\sigma=\sqrt{\frac{1}{N}\sum_{i=1}^n(x_i-\mu )^2}=\sqrt{\frac{1}{10}(1364.4)}=11.68[/tex]
Standard deviation for the population:
[tex]\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^n(x_i-\mu )^2}=\sqrt{\frac{1}{9}(1364.4)}=12.31[/tex]
The standard deviation of the sample will be 11.6.
The standard deviation of the population will be 12.31.
A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.
To find the area of a rhombus with diagonals of 500 yards and 800 yards, use the formula (d1 * d2) / 2 and convert the result to square miles.
Given: The diagonals of the rhombus are 500 yards and 800 yards.
Formula: The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the diagonals of the rhombus.
Calculation: Area = (500 * 800) / 2 = 200,000 square yards.
Conversion: To convert square yards to square miles, divide the area by 3,097,600 (number of square yards in a square mile).
Final Result: The area of the rhombus is approximately 0.0646 square miles.
Hey y'all I REALLYYYY need help with this!!
!Calculate the distance between the points K= (1, -5) and J= (8,-9) in the coordinate plane. Give exact answer (not decimal form)
$80 is divided Between two men such that 1/4 of one persons share is equal to 1/6 Of the other how much will each man receive
Final answer:
To divide $80 between two men so that 1/4 of one person's share equals 1/6 of the other's share, each man will receive $40 and $60, respectively.
Explanation:
To divide $80 between two men so that 1/4 of one person's share equals 1/6 of the other's share:
Let x be one person's share and y be the other person's share.
Set up the given ratio: 1/4x = 1/6y.
Solve the ratio equation to find x and y: 1/4x = 1/6y can be simplified to x = $40 and y = $60.
13. Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale.
A. AA Postulate
B. AS Postulate
C. SSA Theorem
D. SSS Theorem
Answer:
A) AA postulate
Step-by-step explanation:
This postulate used to prove the two triangles are similar.
If two angles in a triangle are congruent to two angles in other triangle, then the two triangles are called similar.
Hope this will helpful.
Thank you.
Express in exponential form log(2)16 = 4
URGENT 50 POINTS!!!
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Water damage (from broken pipes, overflows, etc.) results in approximately 12% of claims overall, with an average claim being $5,200. What is the expected value (loss or gain) to Acasa for every customer who chooses plan A?
A.)$-1,060
B.)$ 436
C.)$ -360
D.)$ -100
Answer:
The answer is B
Step-by-step explanation:
I got it right on plato
(y + 5)(y – 9) = 0
need help asap!!
In three more years, miguel's grandfather will be six times as old as miguel was last year. when miguel's present age is added to his grandfather's present age, the sum is 68. how old is each one now?
You have decided to buy a new home and the bank offers you a 10 year fixed loan at 5.0% on a balance of $275,325. Use the table provided to determine the monthly payments.a.$183,147c.$185,350b.$184,789d.$186,523
Answer:
ita A
Step-by-step explanation:
You can calculate the monthly payments for a 10-year fixed loan at 5.0% on a balance of $275,325 by plugging the values into the amortization formula: M = P [r(1+r)^n] / [(1+r)^n – 1]. Perform the calculations and compare the result to the answer choices.
Explanation:This question falls under the category of financial mathematics, specifically loan repayment calculations. When calculating a fixed loan, we typically use an amortization formula to find our monthly payment. The formula we use is: M = P [r(1+r)^n] / [(1+r)^n – 1], where M is our monthly payment, P is the principal loan amount (in this case $275,325), r is our monthly interest rate (annual rate of 5% divided by 12), and n is the number of payments (or the number of months, in this case, 10 years or 120 months).
Plugging in these numbers, we get M = $275,325[0.004167(1+0.004167)^120] / [(1+0.004167)^120 – 1].
After performing these calculations, you will get the monthly payment for this 10-year fixed loan. Compare this number to the choices given to get your answer.
Learn more about Loan Repayment Calculation here:https://brainly.com/question/28244942
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Kevin owes $4,645 on a credit card with a 19.7% interest rate compounded monthly. What is the monthly payment he should make in order to pay off this debt in 12 months, assuming he does not charge any more purchases with the card?
$387.08
$84.34
$429.62
$1,034.65
**Please help with steps too, please.
Use the verbs in the word bank to complete the sentences. Remember that you will need to put the verb in the correct form. Watch out for irregulars and stem changers! Do NOT write the sentence. ONLY fill in the verb in its correct form.
Word Bank:
ser comer jugar estar ir estudiar
1. Carlos _____ muy inteligente.
2. Mi hermana y yo ______ al museo.
3. Yo ________ al fútbol todos los sábados.
4. ¿Qué ______ tú cuando vas al restaurante mexicano?
5. Ustedes _________ los verbos en español. ¿No?
Question 1 options:
Blank # 1
Blank # 2
Blank # 3
Blank # 4
Blank # 5
*100% CORRECT ANSWER WERE
1) es
2) vamos
3) juego
4) comes
5) estudian