Answer:
3 seconds
Step-by-step explanation:
Convert minutes to seconds: 5*60=300 seconds. 100 math facts in 300 seconds. 100/300=3. She solves a math question every 3 seconds (holy cr.ap that's fast)
Answer:
y = 11
Step-by-step explanation:
We use the definition of Supplementary Angles and Adjacent Angles.
Step 1: Set up equation 1 (Definition of Supplementary Angles)
5x - 4 +7x - 8 = 180
Step 2: Solve for <em>x</em>
12x - 4 - 8 = 180
12x - 12 = 180
12x = 192
x = 16
Step 3: Plug in <em>x</em>
5(16) - 4
80 - 4
76°
Step 4: Set up equation 2 (Definition of Supplementary Angles)
76 + 9y + 5 = 180
Step 5: Solve for <em>y</em>
9y + 81 = 180
9y = 99
y = 11
In similar triangles, the ratios of corresponding sides are equal.
This means
y/6=5/(4+5)
Cross multiply
y=5*6/(4+5)=30/9=10/3 (or 3 1/3)
Answer:
25306
Step-by-step explanation:
a=starting value = 20000
r=\text{rate = }4\% = 0.04
r=rate = 4%=0.04
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.04=1.04
b=1+r=1+0.04=1.04
\text{Write Exponential Function:}
Write Exponential Function:
y=20000(1.04)^x
y=20000(1.04)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=20000(1.04)^{6}
y=20000(1.04)
6
y= 25306.38037
y=25306.38037
Answer:a
Step-by-step explanation:
