Answer:
Small box weighs 13.75 kg & large box weighs 15.75 kg
Step-by-step explanation:
We can write 2 simultaneous equation and solve for weight of each box.
<em>Let weight of large box be l and small box be s.</em>
<em />
"<u>3 large boxes and 5 small boxes has a total weight of 116 kilograms</u>":

and
"<u>9 large boxes and 7 small boxes has a total weight of 238 kilograms</u>":

<em>Now we can solve for l in the 1st equation and put it into 2nd equation and get s:</em>
<em>
</em>
<em>now,</em>
<em>
</em>
<em />
<em>now we plug in 13.75 into s into equation of l to find s:</em>
<em>
</em>
Answer:
22
Step-by-step explanation:
178 divide by 8 = 22
For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>
The interest rate is 4<span />
Answer:
8
Step-by-step explanation:
The given expression is "three less than the quotient of ten and a number, increased by six”
The quotient of ten and a number increased by six is translated into mathematical expression as:

Three less than the quotient of ten and a number, increased by six is

When we substitute n=2, we get:

Divide to get:

Add to get:

Subtract
