Answer:
$1787.625
Step-by-step explanation:
We first determine the interest earned in 6 months time using the simple interest formula;
![I=\frac{PRT}{100}\\I=\frac{1750*4.3*0.5}{100}\\I=37.625](https://tex.z-dn.net/?f=I%3D%5Cfrac%7BPRT%7D%7B100%7D%5C%5CI%3D%5Cfrac%7B1750%2A4.3%2A0.5%7D%7B100%7D%5C%5CI%3D37.625)
The balance in the account will be;
1750 + 37.625 = $1787.625
Answer:
r = 2/3p
A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts.
There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.
The ratio of raisins and peanuts = 4:6 or 2:3
It would be same for every mixture.
If r cups of raisins and p cups of peanuts then their mixture ratio is r:p
Step-by-step explanation:
pls heart and give brainliest
Answer:
Each banana costs $0.33.
Step-by-step explanation:
This can be solved as a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of bananas bought
- The total cost
As the number of bananas bought increases, the total cost will increase too, which means that our rule of three is direct.
3 banatas costs $1. We want to know how much costs each banana, so:
3 bananas - $1
1 banana - $x
3x = 1
![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
x = 0.33
Each banana costs $0.33.
Total sq units of dotted rectangle = 3*5=15sq units
Shaded area= 15-(3*4*1/2+2*5*1/2)
=15-(6+5)
= 15-11
= 4 sq units
Answer:
Slope= 3/11
Step-by-step explanation:
Slope formula= ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Use the points (-8, 2) and (3,5)
=
= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Slope= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Use point-slope to find the equation
y-y1=m(x-x1)
*Use the slope (previously found) as m, and (3,5) as your point (x,y)*
y-5=
(x-3)
y-5=
x-3![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
+5 +5
y=
x+2![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)