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3 years ago

What is the smallest three-digit number that has a digit sum of 8?

2 answers:

6 0

Three-digit number made up of
- Hundreds digit
- Tens digit
- Digits unity
We denote it as HTU
The numbers seemingly available to the number 8 - 1 = 7 0,1,2,3,4,5,6,7

Explanation
At the beginning can not be zero , the smallest is the number one
H = 1
hundreds digit indicates
1 * 100 Unity
2 * 100 Unity
3 * 100 Unity ........
because we wrote the lowest possible
.................................
T - at the scene of tens of type 0
Explanation
the tens digit is 1 * 10 unity
2 * 10 unity
3 * 10 unity ........
because we wrote here a value of 0

the smallest value in number there is unity U and there you enter the digit 7

digit unity means
1 * 1 unity
2 * 1 unity
3 * 1 unity ........
because we wrote here a value of 7
because we wrote here a value of 0
Answere 107

emmasim [6.3K]3 years ago

6 0

107

1+0+7=8

If you can put 008 then that would be even smaller.

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aiden currently has a balance of $4443.48 in an account he has held for 17 years he open the account with initial deposit of $25

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$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4443.48\\
P=\textit{original amount deposited}\to& \$2567\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &17
\end{cases}
\\\\\\
4443.48=2567(1+r17)\implies \cfrac{4443.48}{2567}=1+17r
\\\\\\
\cfrac{4443.48}{2567}-1=17r\implies \cfrac{\frac{4443.48}{2567}-1}{17}=r\implies 0.043\approx r
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3 years ago

What is the missing divisor? 34,000 ? = 340

Kipish [7]

Answer:

34,000 ÷ 1000 =340

Step-by-step explanation:

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2 years ago

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

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3 years ago

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___

snow_lady [41]

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

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3 years ago

Find an equation for the nth term in the following sequence: 2, 8, 32, 128, 512...

seraphim [82]

Answer:

$a_n = 2(4) ^{n-1}$

Step-by-step explanation:

The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term $\frac{a_{n + 1}}{a_n}$ and check that $\frac{a_{n + 1}}{a_n}=4$

Then the formula that represents this sequence is:

$a_n = a_1(r)^{n-1}$

Where $a_1$ is the first term of the series = 2 and $r$ is the radius of convergence = 4.

Then the equation is:

$a_n = 2(4) ^{n-1}$

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