Answer:
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Step-by-step explanation:
we have
This is a vertical parabola open downward
The vertex is a maximum
Find the vertex
step 1
Factor the leading coefficient -4
step 2
Complete the square
step 3
step 4
Rewrite as perfect squares
the vertex is the point (1,-21)
so
The maximum value of the quadratic equation is (1,-21)
therefore
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Surface area of a sphere = <span>4π<span>r2</span></span>
the volume of a sphere= <span><span>43</span>π<span>r3</span></span>
so <span>5000π=<span>4/3</span><span>πr3
</span></span><span>> r^3 = 5000 x 3 / 4
=>
r^3 = 3750
</span>taking cube root on both sides
r=15.53616
hope it helps
Answer:
$2278.846
Step-by-step explanation:
Given the following commision steps :
8% on first $1000;
12% next $2000;
20% on sales above $3000
Recorded sales for a week :
Monday $1500.00
Tuesday $3000.00
Wednesday $ 970.00
Thursday $4563.81
Friday $2760.42
This assu es that commision is calculated after weekly sales:
Total:
(1500 + 3000 + 970 + 4563.81 + 2760.42)
= $12794.23
8% on first $1000
0.08 × $1000 = $80
12% of $2000 = $240
20% of $(12794.23 - 3000)
= 0.2 × 9794.23
= 1958.846
Total commision for the week :
$(80 + 240 + 1958.846)
= $2278.846
Answer:
Step-by-step explanation:
24
Step-by-step explanation:
Since we have given that
Number of muffins Diana sold at the bake sale = 336
Number of muffins Bob sold at the bake sale = 287
Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.
By estimation, we get
Number of muffins Diana sold at the bake sale = 340
Number of muffins Bob sold at the bake sale = 290
So,
Difference between them is given by
Hence, Bob sold 50 fewer muffins than Diana.
