Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
Can I see a photo can’t tell what you are talking about
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077%
( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077%
)^780-1/0.08173077%
35000=weekly payment*(1.89125311
-1)/0.000817308
35000=weekly payment*0.89125311
/0.000817308
weekly payment=35,000*0.000817308
/0.89125311
weekly payment=$32.10
Answer:
Step-by-step explanation:
area of base = 5×11 = 55 ft²
area of triangle = ½×5×6 = 15 ft²
area of rectangular face = 6.5×11 = 71.5 ft²
surface area = 55 + 2×15 + 2×71.5 = 228 ft²
Step 1
find the total volume of the fish tank
volume of a rectangular prism=51*39*28----> 55692 cm³
step 2
find the 95% of the volume of the tank fish
95%=55692 cm³*.95-----> 52907.40 cm³
step 3
find the 5% of the volume of the tank fish
5%=55692*0.05----> 2784.6 cm³
or
55692-52907.4=2784.6 cm³
step 4
find the volume of the log
volume of a cylinder=pi*r²*h
r=5 cm
h=44 cm
volume of a cylinder=pi*5²*44-----> 3454 cm³
step 5
<span>water spills out of the tank=volume of the log-volume of the 5% of the tank
</span>water spills out of the tank=3454 cm³-2784.6 cm³-----> 669.40 cm³
the answer is
669.40 cm³
