Answer:
$1010.44
Step-by-step explanation:
1500 = X(1 + 0.1/4)¹⁶
X = 1500/(1.025¹⁶)
X = $1010.4374
The main formula we use here is Work=Rate*Time,
1. The rate (speed of working) of Dominik is

2. Let the the rate of Katarina be

Together they have a rate of

equal to

(project per hour)
so

simplify the units:



so the rate of Katarina is 3/40 (proj per hour)
Now, the rate of Dominik was 1/8 (pr/hr)=5/40 (pr/hr)
In 5 hours Dominik complets 5*5/40=25/40 of the project
Katarina completes 5*3/40=15/40 of the project.
Answer:
y - 13 = 3(x - 5)
Step-by-step explanation:
x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.
Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)
side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.
Answer:
x=58
Step-by-step explanation:
Exterior angle of one interior angle in a triangle is equal to the sum of the other two remote interior angles. (Ext. Angle Th.) So, 3x-32=84+x
2x=116
x=58