Answer: $7,420.00 = 3 years
(I = A - P = $420.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 7000(1 + (0.02 × 3)) = 7420
A = $7,420.00
The total amount accrued, principal plus interest, from simple interest on a principal of $7,000.00 at a rate of 2% per year for 3 years is $7,420.00.
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
Answer: 62unit^2
Explanation
<h2>
Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>
Step-by-step explanation:</h2>
We know that angle CBD is a right angle.
We also know that angle ABE is 180°.
Our unknown angle values are angle DBE and angle CBA.
angle CBD minus angle ABE will be 90°.
angle ABC plus angle DBE must equal 90°.
Solving for x:
(x+15)+(x)=90°
(x+15-15)+(x)=90°-15
(x)+(x)=75°
2x=75°
2x/2=75°/2
x=37.5°
Checking the work:
ABC=37.5°+15=52.5°
CBD=90°
DBE=37.5°
In conclusion, ABC plus CBD plus DBE equals 180°
<em>Hope this helped!</em>
Answer:
(5,0)
Step-by-step explanation:
"The zero" means the 'x-intercept' of the graphed equation.
That gives you the value of x (first number in the pair) that you substitute in the equation to make it true to get the value of y being 0, (the second number in the pair.
y = x - 5 substitute 0 for y and 5 for x and check
0 = 5 - 5 True.
Or to solve if no choices are there to select
0 = x-5 add 5 to both sides of the equation
0 + 5 = x -5 + 5 -5 +5 = 0
5 = x
Ot graph the equation
