Answer:
3396.65
Step-by-step explanation:
Let's start by cacluating the amount the bank is loaning us
800000*.8=640000
Let's now calculate the effective rate: .049/12= .004083333333
let x= payment

Answer:
∠6=116°
Step-by-step explanation:
Buckle up :)
- We are given the values of ∠4
and ∠8
.
- Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also
. - ∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
- Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

Solve for x. Subtract 94 from both sides:

Add 5x to both sides:

Divide both sides by 3:

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

a represents angle 6. Subtract 64 from both sides:

Angle 6 has a measure of 116°.
:Done
Answer:
Part A: x÷3=$499
Part B: $1497
Step-by-step explanation:
A: Because to find a fraction of somthing we have to divide, so in this case we divided the original price by 3 to get $499.
B:To find the original price we have to multiply the one third of it ($499) by 3 to get the original amount.
Answer: 60.96 cm
12 beads take up 4 inches
72/12 = 6
Hence, 72 beads take up 4 * 6 inches
72 beads take up 24 inches
24 inches = 24 * 2.54
24 inches = 60.96
Answer:
x=4/15
Step-by-step explanation:
first you need to make common denominators for 1/5 and 1/3
the common denominator is 15
5*3=15, 3*5=15. 1*3=3, 1*5=5
new equation:3x-3/15=x+5/15
now subtract x from both sides: 3x-3/15=x+5/15
-x -x
2x-3/15=5/15
now you can add 3/15 to 5/15
2x=8/15
now for the last step, divide by 2 because there are 2 x's
2x/2=x 8/15 /2=4/15
x=4/15