For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame?A. $1,377.91
B. $1,234.56
C. $1,352.24
D. $1,466.09

Answers

Answer 1

Answer: So we want to know what is the ending ballance if the starting value on the account was the deposit of 1644.5$ and debit card transactions were: 30$ + 5.59$ + 7.2$ + 21.3$= 64.09$ and checks: 190$ + 45$ + 7.5$= 242.5$. When we take those values from the initial value: 1644.5$-242.5$-64.09$= 1377.91$. And the correct answer is A.

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If c = 8h +2 calculate c when h = 5

Answers

replace h with its val.ue and multiple with 8 then add 2:
8× 5 + 2 = 42
c = 42

Leah has a 20% off coupon for a sports store. There is a tennis racket that is available at a discount of 10%. The store applies the coupon after the 10% is taken. She buys the racket for $34. Approximately, what was the orginal price of the tennis racket

Answers

Answer:the orginal price of the tennis racket is $47

Step-by-step explanation:

Let x represent the original price of the tennis racket at the sports store.

Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.

The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be

10/100 × x = 0.1 × x = $0.1x

The discounted price of the racket would be

x - 0.1x = 0.9x

The value of the coupon would be

20/100 × 0.9x = 0.2 × 0.9x = 0.18x

The selling price after the coupon was applied would be

0.9x - 0.18x = 0.72x

She buys the racket for $34. This means that

0.72x = 34

x = 34/0.72 = $47

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

$\angle C,\; \angle F$ are right triangle, $AC=DF;\angle B=\angle E$

From the figure,

$\Delta ACB\;\&\;\Delta DFE$ are right angletriangle.

$AC=DF \;\;\;\;\{\rm{given}\} \n\angle B=\angle E \; \;\;\;\;\{\rm{given}\}$

And $\angle C=\angle F=90^\circ$

$\Delta ACB\;\cong\;\Delta DFE$ { $ASA$ congruence rule}

Hence, Nameof postulate ortheorem that supports the conclusion that the trianglesare congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

brainly.com/question/21718353?referrer=searchResults

Trig please helpLaw of Sines and the Ambiguous Case.

In ∆ ABC, a =32, b = 44, and m < A = 68*
How many distinct triangles can be drawn given these measurements?

Answers

Answer:

None (zero)

Step-by-step explanation:

32/sin(68) = 44/sinB

sinB = 1.2748778

Not possible

Find the radical equivalent of 272/3 and compute it?

Answers

Answer: The radical equivalent of $27^{(2)/(3)}\n$ is 9.

Step-by-step explanation:

Since we have given that

$27^{(2)/(3)}\n$

We need to find the radical equivalent.

so, we will use the "Exponential law":

$(a^m)^{(1)/(n)}=a^{(m)/(n)}$

so, it becomes,

$27^(2)/(3)\n\n=(3^3)^(2)/(3)\n\n=(3^(3)/(3))^2\n\n=3^2\n\n=9$

Hence, The radical equivalent of $27^{(2)/(3)}\n$ is 9.

What is the prime factorization of 476?Question 8 options:

2 squared times 7 times 19

2 times 3 to the power of 5

2 squared times 7 times 17

2 squared times 3 squared times 13

Answers

476
divdie 2
2*238

238 divide 2
2*2*119
divide 7
2*2*7*17

prime factorization is
2^2 times 7 times 17

2 squeared times 7 times 17

third option

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