Suppose that $14,000 is invested in a savings account paying 5.2% interest per year.
(a) Write the formula for the amount A in the account after t years if interest is compounded monthly.

The division of 913 by 29 yields a quotient of 31 with a remainder of 14, which can be written as 31 R14 or as a decimal, 31.4827586207.

Calculating 913 Divided by 29:

To calculate 913 divided by 29, you perform long division. Firstly, you determine how many times 29 can fit into the initial digits of 913. Seeing that 29 goes into 91 three times (since 29 x 3 = 87), you write down the 3 above the last digit of 91, subtract 87 from 91, and bring down the next digit of 913, which is 3, next to the 4 remaining from the subtraction, forming 43. Now, you determine how many times 29 can fit into 43 without exceeding it. The answer is once. So you write 1 above the 3 in 913, multiply 29 by 1 to get 29, and subtract this from 43 to get 14. Since there are no more digits in 913 to bring down, you have finished the division process.

The result of the division is 31 with a remainder of 14, which can also be written as 31 R14 or as 31.4827586207 when expressed as a decimal.

A good way to check your math is to multiply the quotient by the divisor and add the remainder. If the result equals the original dividend, your division is correct. In this case, 31 x 29 + 14 equals 913, confirming the division is accurate.

Answer:

C - Rhombus

Step-by-step explanation:

A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.

Answer:

it's a parallelogram

Final answer:

The size of the square to be cut from each corner of the cardboard to create a box with a desired area of 80in^2 is approximately 1.553 inches.

Explanation:

The size of the square should be cut from each corner of an 11in. by 16 in. piece of cardboard to create a box with a desired area of 80in2 is approximately 1.553 inches.

To calculate this, we start by finding the area of the original cardboard piece, which is 11*16=176in2. Then, we subtract the area of the four squares cut out, 4x2, from the original area to get the area of the box's base, which is 176 - 4x2=80. Solving for x gives us the size of the square to be cut out.

Final answer:

Assuming the function g(x) is 2x - 1, to find g(-2.3) we substitute -2.3 for x, calculate the expression, and obtain

g(-2.3) = -5.6.

Explanation:

The student has provided an incomplete function g(x), as it shows g(x) = 2 - 1 without any variable after the subtraction sign. Assuming this is a typographical error and the student meant g(x) = 2x - 1, we can proceed to evaluate the function for x = -2.3.

To evaluate g(-2.3), we substitute -2.3 into the function:

Therefore, the value of g(-2.3) is -5.6.

To solve 5[tex]x^2[/tex] = -30x - 65, we can use the quadratic formula. However, the equation has no real solutions.

To solve 5[tex]x^2[/tex] = -30x - 65, we can start by rearranging the equation to form a quadratic equation in standard form. The equation becomes 5[tex]x^2[/tex]+ 30x + 65 = 0. We can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

In this case, the quadratic equation does not factor easily, so we can use the quadratic formula. The quadratic formula is x = (-b ± sqrt([tex]b^2[/tex] - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation. Plugging in the values, we get x = (-30 ± sqrt([tex](-30)^2[/tex] - 4(5)(65))) / (2(5)). After simplifying, we get x = (-30 ± sqrt(900 - 1300)) / 10.

Since the expression inside the square root is negative, there are no real solutions to the equation. Therefore, the equation 5[tex]x^2[/tex] = -30x - 65 has no solution.

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Answer:

trasposing of numbers

Step-by-step explanation:

Answer:

part a.

2/3 = x/6

3x = 12

x = 4

that is the answer

Answer: 55 tickets

Step-by-step explanation:

Given : The local baseball team donated 220 game tickets to the program.

Also, Danielle divides the tickets evenly among the 4 units in the program.

Then, the number of  tickets will each unit get =[tex]220\div 4[/tex]

i.e. the  number of tickets will each unit get =55

Hence, Each units will get 55 tickets.

The number that, when squared, equals 9/16 is 3/4 as the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

The question is asking what number raised to the second power (or squared) equals 9/16. In mathematical terms, it's asking for a number n whereby n² = 9/16. Since squaring a number means multiplying it by itself, we can say that n = √(9/16).

The square root of 9/16 can be found by taking the square root of 9 and the square root of 16 separately. This is possible because the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator (√a/b = √a / √b).

So, the square root of 9 is 3 and the square root of 16 is 4. Therefore, √(9/16) = 3/4. Hence, the number that when squared gives 9/16 is 3/4.

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Answer:

A. The student followed all rules correctly and solved for c

Step-by-step explanation:

Given the equation [tex]3c + 6 - 4c = 12 c + 7[/tex], the student followed all rules correctly because:

[tex]3c - 4c = - c[/tex]

[tex]-c +6 + (-6) = 12c +7+(-6)[/tex]

[tex]-c +(-12c) = 12c +(-12c) +1[/tex]

[tex]-\frac{13c}{13}= -\frac{1}{13}[/tex]

And he got it:  

[tex]c = -\frac{1}{13}[/tex]

Now we´ll check this work with the original equation:

[tex]3c + 6 - 4c = 12 c + 7[/tex]

[tex]3(-\frac{1}{13}) + 6 - 4(-\frac{1}{13}) = 12(-\frac{1}{13}) + 7[/tex]

[tex]-\frac{3}{13} + 6 +\frac{4}{13} = -\frac{12}{13} +7[/tex]

[tex]6 + \frac{1}{13} = \frac{79}{13}[/tex]

[tex]\frac{79}{13} = \frac{79}{13}[/tex]

Very good  √

Step-by-step explanation:

i was trying to figure out if I can always handle your math exams would it be possible

Answer: Composite

Step-by-step explanation: To see if 35 is a prime number or a composite number, let's first start by finding the factors of 35.

To find the factors of 35, begin by dividing 35 by 1 which gives us 35. This means that 1 and 35 are factors.

Next, since 35 is not divisible by 2, 3, or 4, we divided 35 by 5 which gives us 7. This means that 5 and 7 are factors.

Next, since 35 is not divisible by 6, we divide 35 by 7 which gives us 5. Notice that 7 and 5 are repeat factors and once we hit repeat factors, this means that all other factors we try will repeat.

Therefore, the factors of 35 are 1, 5, 7, and 35.

Since 35 has more than two factors, it's called a composite number.

Answer:

the answer is 19.9 cm

The correct answer is:

Credit grantors' measurement of a person's ability to repay loans.

Explanation:

When lending money, financial institutions look at a variety of factors.  One of the most important is the ability of the person taking out the loan to repay it.  Financial institutions refer to this as "capacity."

Answer:

answer d 15 to ifinity

Step-by-step explanation: