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2 years ago

What’s the solution?

Mathematics

1 answer:

Licemer1 [7]2 years ago

3 0

Answer:

I swear I hate those people who put links

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If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5

Mkey [24]

Answer:

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

8 0

2 years ago

Please help :((((((

Alik [6]

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem $a^{2} +b^{2} =c^{2}$ and if the left side of the equation is equal to the right, that is the answer.

(Do take note that c is the longest side.)

$0.07^{2} +2.4^{2} =5.7649$

$2.5^{2}=6.25$

Since $2.5^{2} \neq 5.7649$ , a) is wrong.

$17^{2} +30^{2} =1189\\
34^{2} =1156$

Since $34^{2}\neq1189$ , b) is wrong.

c) (answer)

$5^{2} +12^{2} =169\\13^{2} =169$

Since $13^{2} =169$ , c) is correct.

$(7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}$

Since $(13x)^{2} \neq193x^{2}$ , d) is wrong.

5 0

2 years ago

if Dakota earned $15.75 in interest in account A and $28.00 in interest in account B after 21 months. if the simple interest rat

NISA [10]

keeping in mind that 21 months is more than a year, since there are 12 months in a year, then 21 months is really 21/12 years.

$\bf ~~~~~~ \stackrel{\textit{account A}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &15.75\\ P=\textit{original amount deposited}\dotfill \\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\to \frac{21}{12}\dotfill &\frac{7}{4} \end{cases} \\\\\\ 15.75=P(0.03)\left( \frac{7}{4} \right)\implies \cfrac{15.75}{(0.03)\left( \frac{7}{4} \right)}=P\implies \boxed{300=P}$

$\bf ~~~~~~ \stackrel{\textit{account B}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &28\\ P=\textit{original amount deposited}\dotfill \\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ t=years\to \frac{21}{12}\dotfill &\frac{7}{4} \end{cases} \\\\\\ 28=P(0.049)\left( \frac{7}{4} \right)\implies \cfrac{28}{(0.049)\left( \frac{7}{4} \right)}=P\implies \boxed{326.53\approx P}$

so, clearly, you can see who's greater.

3 0

3 years ago

Find the equation of the line that passes through (-2,3) and (4,-1).

horsena [70]

$Genera\ equation\ for\ line\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,3),\ (4,-1)\ into\ equation\\\\ \left \{ {{3=-2a+b}\ \ \ \ \atop {-1=4a+b\ |*-1}} \right.\\\\ \left \{ {{3=-2a+b}\ \ \ \ \atop {1=-4a-b\}} \right.\\+----\\\\Addition\ method\\\\4=-6a\ \ |:-6\\\\a=-\frac{4}{6}=-\frac{2}{3}\\\\b=3+2a=3+2* (-\frac{2}{3})=3-\frac{4}{3}=1\frac{2}{3}\\\\y=-\frac{2}{3}x+1\frac{2}{3}$

8 0

3 years ago

The new car you bought this year cost $42500. The value of the car

Valentin [98]

Answer:

10% multiplied by 6 = 60%

60% of 42500 is 25500

42500-25500= 17000

i multiplied 10% by 6 because 2027 is 6 years away and i subtracted 42500 by 25500 because it says it "decreased"

Step-by-step explanation:

3 0

3 years ago