Answer:
<em>Annie will be able to borrow</em><em> $ 7,716.00 </em>for the playground using her car a collateral (option b).
Explanation:
Interpretation of the problem:<em> to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral.</em> Since <em>the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral</em>, in order to know <em>how much Annie will be able to borrow</em>, you must use<em> </em>percentage calculations.
Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:
- Percent, % = (amount / base) × 100
In this case, the percent that <em>the officer is permitted to loan</em> is known, <em>92%</em>, the amount to <em>borrow</em> is unknown (x), and the base is the <em>value of her car </em>(<em>the collateral</em>), <em>$ 7,800</em>, which leads to the following equation:
Now, you can solve for x:
- x = 7,800 × 92/100 = 7,800 × 0.92 = 7,176.00
In conclusion, <em>Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral</em>.
Answer:
d = 3 sqrt(2)
Step-by-step explanation:
To find the distance between two points we can use the formula
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
d = sqrt( ( -1 - -4) ^2 + (9-6)^2)
d = sqrt( (-1+4)^2 + 3^2)
d = sqrt( 3^2+3^2)
d = sqrt(9+9)
d = sqrt(18)
Simplifying
d = sqrt(9*2)
d = 3 sqrt(2)
A line segment is a line bound by two points. Hope that helps!
You will have added $138 to your account with a grand total of $183 at the end of the 6th year, minus interest.
Answer:
y=2/3
y=4
x=1
Step-by-step explanation:
y=2/3
y=x+3
x= -2x+3
x+2x=3
3x=3
x=3/3
x=1
