Answer:
x=12 .
Step-by-step explanation:
See image below:)
Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4
2 answers:
The amount she saves is £450 and the amount she spends is £200.
Step-by-step explanation:
Given,
The amount she has = £650
The ratio of saving to spending money is 9:4
To find the amount she saves and she spends.
Let,
The amount she saves = 9x
The amount she spends = 4x
According to the problem,
9x+4x = 650
or, 13x = 650
or, x = = 50
Hence,
The amount she saves = £50×9 = £450
The amount she spends = £50×4 = £200
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The first step for solving this equation is to determine the defined range.
, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
= 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
Separate the solutions.
x = , x ≠ 1
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-
Separate the solutions.
x =
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
Answer:
Semiannual payment = $ 1391.37
Total payment = $ 8348.22
Interest paid = $ 848.22
Step-by-step explanation:
Since, the semiannual payment formula of a loan,
Where,
PV = present value of the loan,
n = number of semiannual payments,
r = annual rate,
Here, PV = 7500, r = 6.3% =0.063, n = 6,
By substituting the value,
The semiannual payment would be,
Also, total payment = semiannual payment × total semiannual periods
= 1391.37 × 6
= $ 8348.22,
Also, the interest paid = total payment - present value
= 8348.22 - 7500
= $ 848.22