Cara's bill was $30.51 this week.
Cara's bill was $7.60 more than two-thirds of her grocery bill last week.
First thing we need to do therefore, is to find out what 2/3 of her bill was last week:
= 2/3 x 34.37
= $22.91
Her bill was $7.60 more than this amount so it was:
= 7.60 + 22.91
= $30.51
Cara's bill was therefore $30.51 this week.
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We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
Its the second one............
The annual interest rate is 20.4% which is a 20.4/12 = 1.7% monthly rate.
1.7% = 0.017
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Month 1:
interest = 0.017*(current balance)
interest = 0.017*(1045.87)
interest = 17.77979
interest = 17.78
---------
principal = payment - interest
principal = 490 - 17.78
principal = 472.22
---------
new balance = (old balance) - principal
new balance = (1045.87) - 472.22
new balance = 573.65
at the end of month 1, the balance is $573.65
So far, you have paid $490
-------------------------------------------------
Month 2:
interest = 0.017*(current balance)
interest = 0.017*(573.65)
interest = 9.75205
interest = 9.75
---------
principal = payment - interest
principal = 490 - 9.75
principal = 480.25
---------
new balance = (old balance) - principal
new balance = (573.65) - 480.25
new balance = 93.40
At the end of month 2, the balance is $93.40
So far, you have paid 490+490 = 980 dollars
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Month 3:
The current balance of $93.40 is less than $490, so we don't have to pay the full $490. We can simply pay off the remaining balance.
Add this to the current total paid amount so far to get 980+93.40 = 1,073.40
I'm not sure if I made a rounding error somewhere or if there is a typo. The closest answer choice I see is choice B. So I'm thinking the answer is choice B. I'd get a second opinion or ask the teacher on this one.